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Finding the Fourth Proportional to 29,251.48, 43,877.12 and 9,530

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Solution

The fourth proportional to 29,251.48, 43,877.12 and 9,530 is: 14,294.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,251.48 : 43,877.12 = 9,530 : x
  2. Step 2: Convert to fraction form
    29,251.48/43,877.12 = 9,530/x
  3. Step 3: Cross multiply
    29,251.48x = 43,877.12 × 9,530
  4. Step 4: Simplify right side
    29,251.48x = 418,148,953.60
  5. Step 5: Solve for x
    x = 418,148,953.60/29,251.48
  6. Step 6: Final answer
    x = 14,294.97

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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.