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Finding the Fourth Proportional to 29,534.74, 40,757.90 and 16,106.02

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Solution

The fourth proportional to 29,534.74, 40,757.90 and 16,106.02 is: 22,226.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,534.74 : 40,757.90 = 16,106.02 : x
  2. Step 2: Convert to fraction form
    29,534.74/40,757.90 = 16,106.02/x
  3. Step 3: Cross multiply
    29,534.74x = 40,757.90 × 16,106.02
  4. Step 4: Simplify right side
    29,534.74x = 656,447,552.56
  5. Step 5: Solve for x
    x = 656,447,552.56/29,534.74
  6. Step 6: Final answer
    x = 22,226.29

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