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Finding the Fourth Proportional to 31,780.80, 47,671.20 and 24,422.40

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Solution

The fourth proportional to 31,780.80, 47,671.20 and 24,422.40 is: 36,633.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,780.80 : 47,671.20 = 24,422.40 : x
  2. Step 2: Convert to fraction form
    31,780.80/47,671.20 = 24,422.40/x
  3. Step 3: Cross multiply
    31,780.80x = 47,671.20 × 24,422.40
  4. Step 4: Simplify right side
    31,780.80x = 1,164,245,114.88
  5. Step 5: Solve for x
    x = 1,164,245,114.88/31,780.80
  6. Step 6: Final answer
    x = 36,633.60

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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.