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Finding the Fourth Proportional to 49,012.79, 73,400.74 and 27,888.82

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Solution

The fourth proportional to 49,012.79, 73,400.74 and 27,888.82 is: 41,765.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,012.79 : 73,400.74 = 27,888.82 : x
  2. Step 2: Convert to fraction form
    49,012.79/73,400.74 = 27,888.82/x
  3. Step 3: Cross multiply
    49,012.79x = 73,400.74 × 27,888.82
  4. Step 4: Simplify right side
    49,012.79x = 2,047,059,772.50
  5. Step 5: Solve for x
    x = 2,047,059,772.50/49,012.79
  6. Step 6: Final answer
    x = 41,765.83

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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.