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Finding the Fourth Proportional to 31,387.20, 47,037.60 and 20,827.20

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Solution

The fourth proportional to 31,387.20, 47,037.60 and 20,827.20 is: 31,212.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,387.20 : 47,037.60 = 20,827.20 : x
  2. Step 2: Convert to fraction form
    31,387.20/47,037.60 = 20,827.20/x
  3. Step 3: Cross multiply
    31,387.20x = 47,037.60 × 20,827.20
  4. Step 4: Simplify right side
    31,387.20x = 979,661,502.72
  5. Step 5: Solve for x
    x = 979,661,502.72/31,387.20
  6. Step 6: Final answer
    x = 31,212.13

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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.