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Finding the Fourth Proportional to 31,979.60, 47,965.20 and 9,795.20

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Solution

The fourth proportional to 31,979.60, 47,965.20 and 9,795.20 is: 14,691.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,979.60 : 47,965.20 = 9,795.20 : x
  2. Step 2: Convert to fraction form
    31,979.60/47,965.20 = 9,795.20/x
  3. Step 3: Cross multiply
    31,979.60x = 47,965.20 × 9,795.20
  4. Step 4: Simplify right side
    31,979.60x = 469,828,727.04
  5. Step 5: Solve for x
    x = 469,828,727.04/31,979.60
  6. Step 6: Final answer
    x = 14,691.51

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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.