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Finding the Fourth Proportional to 29,431.34, 40,614.77 and 16,002.93

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Solution

The fourth proportional to 29,431.34, 40,614.77 and 16,002.93 is: 22,083.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,431.34 : 40,614.77 = 16,002.93 : x
  2. Step 2: Convert to fraction form
    29,431.34/40,614.77 = 16,002.93/x
  3. Step 3: Cross multiply
    29,431.34x = 40,614.77 × 16,002.93
  4. Step 4: Simplify right side
    29,431.34x = 649,955,321.28
  5. Step 5: Solve for x
    x = 649,955,321.28/29,431.34
  6. Step 6: Final answer
    x = 22,083.78

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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.