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Finding the Fourth Proportional to 31,969.20, 47,957.40 and 9,782.40

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Solution

The fourth proportional to 31,969.20, 47,957.40 and 9,782.40 is: 14,674.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,969.20 : 47,957.40 = 9,782.40 : x
  2. Step 2: Convert to fraction form
    31,969.20/47,957.40 = 9,782.40/x
  3. Step 3: Cross multiply
    31,969.20x = 47,957.40 × 9,782.40
  4. Step 4: Simplify right side
    31,969.20x = 469,138,469.76
  5. Step 5: Solve for x
    x = 469,138,469.76/31,969.20
  6. Step 6: Final answer
    x = 14,674.70

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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.