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Finding the Fourth Proportional to 31,917.42, 47,882.79 and 9,732.51

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Solution

The fourth proportional to 31,917.42, 47,882.79 and 9,732.51 is: 14,600.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,917.42 : 47,882.79 = 9,732.51 : x
  2. Step 2: Convert to fraction form
    31,917.42/47,882.79 = 9,732.51/x
  3. Step 3: Cross multiply
    31,917.42x = 47,882.79 × 9,732.51
  4. Step 4: Simplify right side
    31,917.42x = 466,019,732.50
  5. Step 5: Solve for x
    x = 466,019,732.50/31,917.42
  6. Step 6: Final answer
    x = 14,600.80

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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.