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Finding the Fourth Proportional to 31,730.58, 47,561.46 and 20,645.16

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Solution

The fourth proportional to 31,730.58, 47,561.46 and 20,645.16 is: 30,945.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,730.58 : 47,561.46 = 20,645.16 : x
  2. Step 2: Convert to fraction form
    31,730.58/47,561.46 = 20,645.16/x
  3. Step 3: Cross multiply
    31,730.58x = 47,561.46 × 20,645.16
  4. Step 4: Simplify right side
    31,730.58x = 981,913,951.53
  5. Step 5: Solve for x
    x = 981,913,951.53/31,730.58
  6. Step 6: Final answer
    x = 30,945.35

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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.