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Finding the Fourth Proportional to 27,593.32, 41,352.70 and 19,785

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Solution

The fourth proportional to 27,593.32, 41,352.70 and 19,785 is: 29,650.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,593.32 : 41,352.70 = 19,785 : x
  2. Step 2: Convert to fraction form
    27,593.32/41,352.70 = 19,785/x
  3. Step 3: Cross multiply
    27,593.32x = 41,352.70 × 19,785
  4. Step 4: Simplify right side
    27,593.32x = 818,163,169.50
  5. Step 5: Solve for x
    x = 818,163,169.50/27,593.32
  6. Step 6: Final answer
    x = 29,650.77

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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.