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Finding the Fourth Proportional to 83,487.24, 115,212.24 and 45,761.76

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Solution

The fourth proportional to 83,487.24, 115,212.24 and 45,761.76 is: 63,151.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,487.24 : 115,212.24 = 45,761.76 : x
  2. Step 2: Convert to fraction form
    83,487.24/115,212.24 = 45,761.76/x
  3. Step 3: Cross multiply
    83,487.24x = 115,212.24 × 45,761.76
  4. Step 4: Simplify right side
    83,487.24x = 5,272,314,875.94
  5. Step 5: Solve for x
    x = 5,272,314,875.94/83,487.24
  6. Step 6: Final answer
    x = 63,151.15

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1.5x scale

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.