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Finding the Fourth Proportional to 29,531.58, 40,753.89 and 16,102.86

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Solution

The fourth proportional to 29,531.58, 40,753.89 and 16,102.86 is: 22,222.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,531.58 : 40,753.89 = 16,102.86 : x
  2. Step 2: Convert to fraction form
    29,531.58/40,753.89 = 16,102.86/x
  3. Step 3: Cross multiply
    29,531.58x = 40,753.89 × 16,102.86
  4. Step 4: Simplify right side
    29,531.58x = 656,254,185.13
  5. Step 5: Solve for x
    x = 656,254,185.13/29,531.58
  6. Step 6: Final answer
    x = 22,222.12

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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.