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Finding the Fourth Proportional to 29,049.38, 40,088.14 and 16,474.13

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Solution

The fourth proportional to 29,049.38, 40,088.14 and 16,474.13 is: 22,734.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,049.38 : 40,088.14 = 16,474.13 : x
  2. Step 2: Convert to fraction form
    29,049.38/40,088.14 = 16,474.13/x
  3. Step 3: Cross multiply
    29,049.38x = 40,088.14 × 16,474.13
  4. Step 4: Simplify right side
    29,049.38x = 660,416,988.19
  5. Step 5: Solve for x
    x = 660,416,988.19/29,049.38
  6. Step 6: Final answer
    x = 22,734.29

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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.