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Finding the Fourth Proportional to 31,873.46, 47,810.12 and 15,182.87

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Solution

The fourth proportional to 31,873.46, 47,810.12 and 15,182.87 is: 22,774.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,873.46 : 47,810.12 = 15,182.87 : x
  2. Step 2: Convert to fraction form
    31,873.46/47,810.12 = 15,182.87/x
  3. Step 3: Cross multiply
    31,873.46x = 47,810.12 × 15,182.87
  4. Step 4: Simplify right side
    31,873.46x = 725,894,521.68
  5. Step 5: Solve for x
    x = 725,894,521.68/31,873.46
  6. Step 6: Final answer
    x = 22,774.27

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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.