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Finding the Fourth Proportional to 27,854,769.15, 41,782,153.73 and 27,854,769.15

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Solution

The fourth proportional to 27,854,769.15, 41,782,153.73 and 27,854,769.15 is: 41,782,153.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,854,769.15 : 41,782,153.73 = 27,854,769.15 : x
  2. Step 2: Convert to fraction form
    27,854,769.15/41,782,153.73 = 27,854,769.15/x
  3. Step 3: Cross multiply
    27,854,769.15x = 41,782,153.73 × 27,854,769.15
  4. Step 4: Simplify right side
    27,854,769.15x = 1,163,832,246,599,687.50
  5. Step 5: Solve for x
    x = 1,163,832,246,599,687.50/27,854,769.15
  6. Step 6: Final answer
    x = 41,782,153.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.