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Finding the Fourth Proportional to 59,431, 89,035.26 and 29,814.16

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Solution

The fourth proportional to 59,431, 89,035.26 and 29,814.16 is: 44,665.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,431 : 89,035.26 = 29,814.16 : x
  2. Step 2: Convert to fraction form
    59,431/89,035.26 = 29,814.16/x
  3. Step 3: Cross multiply
    59,431x = 89,035.26 × 29,814.16
  4. Step 4: Simplify right side
    59,431x = 2,654,511,487.28
  5. Step 5: Solve for x
    x = 2,654,511,487.28/59,431
  6. Step 6: Final answer
    x = 44,665.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.