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Finding the Fourth Proportional to 31,380.40, 47,065.20 and 11,648.80

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Solution

The fourth proportional to 31,380.40, 47,065.20 and 11,648.80 is: 17,471.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,380.40 : 47,065.20 = 11,648.80 : x
  2. Step 2: Convert to fraction form
    31,380.40/47,065.20 = 11,648.80/x
  3. Step 3: Cross multiply
    31,380.40x = 47,065.20 × 11,648.80
  4. Step 4: Simplify right side
    31,380.40x = 548,253,101.76
  5. Step 5: Solve for x
    x = 548,253,101.76/31,380.40
  6. Step 6: Final answer
    x = 17,471.20

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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.