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Finding the Fourth Proportional to 31,917.70, 47,864.40 and 9,723.70

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Solution

The fourth proportional to 31,917.70, 47,864.40 and 9,723.70 is: 14,581.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,917.70 : 47,864.40 = 9,723.70 : x
  2. Step 2: Convert to fraction form
    31,917.70/47,864.40 = 9,723.70/x
  3. Step 3: Cross multiply
    31,917.70x = 47,864.40 × 9,723.70
  4. Step 4: Simplify right side
    31,917.70x = 465,419,066.28
  5. Step 5: Solve for x
    x = 465,419,066.28/31,917.70
  6. Step 6: Final answer
    x = 14,581.85

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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.