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Finding the Fourth Proportional to 31,719.57, 47,565.02 and 9,528.60

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Solution

The fourth proportional to 31,719.57, 47,565.02 and 9,528.60 is: 14,288.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,719.57 : 47,565.02 = 9,528.60 : x
  2. Step 2: Convert to fraction form
    31,719.57/47,565.02 = 9,528.60/x
  3. Step 3: Cross multiply
    31,719.57x = 47,565.02 × 9,528.60
  4. Step 4: Simplify right side
    31,719.57x = 453,228,251.76
  5. Step 5: Solve for x
    x = 453,228,251.76/31,719.57
  6. Step 6: Final answer
    x = 14,288.60

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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.