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Finding the Fourth Proportional to 31,841.68, 47,772.16 and 12,856.56

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Solution

The fourth proportional to 31,841.68, 47,772.16 and 12,856.56 is: 19,288.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,841.68 : 47,772.16 = 12,856.56 : x
  2. Step 2: Convert to fraction form
    31,841.68/47,772.16 = 12,856.56/x
  3. Step 3: Cross multiply
    31,841.68x = 47,772.16 × 12,856.56
  4. Step 4: Simplify right side
    31,841.68x = 614,185,641.37
  5. Step 5: Solve for x
    x = 614,185,641.37/31,841.68
  6. Step 6: Final answer
    x = 19,288.73

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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.