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Finding the Fourth Proportional to 31,910.60, 47,868.53 and 9,724.16

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Solution

The fourth proportional to 31,910.60, 47,868.53 and 9,724.16 is: 14,587.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,910.60 : 47,868.53 = 9,724.16 : x
  2. Step 2: Convert to fraction form
    31,910.60/47,868.53 = 9,724.16/x
  3. Step 3: Cross multiply
    31,910.60x = 47,868.53 × 9,724.16
  4. Step 4: Simplify right side
    31,910.60x = 465,481,244.68
  5. Step 5: Solve for x
    x = 465,481,244.68/31,910.60
  6. Step 6: Final answer
    x = 14,587.04

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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.