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Finding the Fourth Proportional to 31,903.20, 47,854.80 and 15,271.20

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Solution

The fourth proportional to 31,903.20, 47,854.80 and 15,271.20 is: 22,906.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,903.20 : 47,854.80 = 15,271.20 : x
  2. Step 2: Convert to fraction form
    31,903.20/47,854.80 = 15,271.20/x
  3. Step 3: Cross multiply
    31,903.20x = 47,854.80 × 15,271.20
  4. Step 4: Simplify right side
    31,903.20x = 730,800,221.76
  5. Step 5: Solve for x
    x = 730,800,221.76/31,903.20
  6. Step 6: Final answer
    x = 22,906.80

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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.