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Finding the Fourth Proportional to 31,887.60, 47,805.48 and 11,125.68

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Solution

The fourth proportional to 31,887.60, 47,805.48 and 11,125.68 is: 16,679.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,887.60 : 47,805.48 = 11,125.68 : x
  2. Step 2: Convert to fraction form
    31,887.60/47,805.48 = 11,125.68/x
  3. Step 3: Cross multiply
    31,887.60x = 47,805.48 × 11,125.68
  4. Step 4: Simplify right side
    31,887.60x = 531,868,472.73
  5. Step 5: Solve for x
    x = 531,868,472.73/31,887.60
  6. Step 6: Final answer
    x = 16,679.48

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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.