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Finding the Fourth Proportional to 65,753.17, 90,734.82 and 37,073.86

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Solution

The fourth proportional to 65,753.17, 90,734.82 and 37,073.86 is: 51,159.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,753.17 : 90,734.82 = 37,073.86 : x
  2. Step 2: Convert to fraction form
    65,753.17/90,734.82 = 37,073.86/x
  3. Step 3: Cross multiply
    65,753.17x = 90,734.82 × 37,073.86
  4. Step 4: Simplify right side
    65,753.17x = 3,363,890,013.81
  5. Step 5: Solve for x
    x = 3,363,890,013.81/65,753.17
  6. Step 6: Final answer
    x = 51,159.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.