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Finding the Fourth Proportional to 31,542.66, 47,313.45 and 14,910.66

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Solution

The fourth proportional to 31,542.66, 47,313.45 and 14,910.66 is: 22,365.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,542.66 : 47,313.45 = 14,910.66 : x
  2. Step 2: Convert to fraction form
    31,542.66/47,313.45 = 14,910.66/x
  3. Step 3: Cross multiply
    31,542.66x = 47,313.45 × 14,910.66
  4. Step 4: Simplify right side
    31,542.66x = 705,474,766.38
  5. Step 5: Solve for x
    x = 705,474,766.38/31,542.66
  6. Step 6: Final answer
    x = 22,365.73

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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.