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Finding the Fourth Proportional to 31,394.73, 47,080.50 and 10,328.64

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Solution

The fourth proportional to 31,394.73, 47,080.50 and 10,328.64 is: 15,489.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,394.73 : 47,080.50 = 10,328.64 : x
  2. Step 2: Convert to fraction form
    31,394.73/47,080.50 = 10,328.64/x
  3. Step 3: Cross multiply
    31,394.73x = 47,080.50 × 10,328.64
  4. Step 4: Simplify right side
    31,394.73x = 486,277,535.52
  5. Step 5: Solve for x
    x = 486,277,535.52/31,394.73
  6. Step 6: Final answer
    x = 15,489.15

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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.