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Finding the Fourth Proportional to 31,501.98, 47,253.31 and 13,487.78

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Solution

The fourth proportional to 31,501.98, 47,253.31 and 13,487.78 is: 20,231.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,501.98 : 47,253.31 = 13,487.78 : x
  2. Step 2: Convert to fraction form
    31,501.98/47,253.31 = 13,487.78/x
  3. Step 3: Cross multiply
    31,501.98x = 47,253.31 × 13,487.78
  4. Step 4: Simplify right side
    31,501.98x = 637,342,249.55
  5. Step 5: Solve for x
    x = 637,342,249.55/31,501.98
  6. Step 6: Final answer
    x = 20,231.82

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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.