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Finding the Fourth Proportional to 31,977.60, 47,962.20 and 9,793.20

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Solution

The fourth proportional to 31,977.60, 47,962.20 and 9,793.20 is: 14,688.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,977.60 : 47,962.20 = 9,793.20 : x
  2. Step 2: Convert to fraction form
    31,977.60/47,962.20 = 9,793.20/x
  3. Step 3: Cross multiply
    31,977.60x = 47,962.20 × 9,793.20
  4. Step 4: Simplify right side
    31,977.60x = 469,703,417.04
  5. Step 5: Solve for x
    x = 469,703,417.04/31,977.60
  6. Step 6: Final answer
    x = 14,688.51

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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.