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Finding the Fourth Proportional to 29,086.68, 40,136.82 and 16,509

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Solution

The fourth proportional to 29,086.68, 40,136.82 and 16,509 is: 22,780.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,086.68 : 40,136.82 = 16,509 : x
  2. Step 2: Convert to fraction form
    29,086.68/40,136.82 = 16,509/x
  3. Step 3: Cross multiply
    29,086.68x = 40,136.82 × 16,509
  4. Step 4: Simplify right side
    29,086.68x = 662,618,761.38
  5. Step 5: Solve for x
    x = 662,618,761.38/29,086.68
  6. Step 6: Final answer
    x = 22,780.83

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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.