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Finding the Fourth Proportional to 31,344.40, 47,016.88 and 10,567.84

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Solution

The fourth proportional to 31,344.40, 47,016.88 and 10,567.84 is: 15,851.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,344.40 : 47,016.88 = 10,567.84 : x
  2. Step 2: Convert to fraction form
    31,344.40/47,016.88 = 10,567.84/x
  3. Step 3: Cross multiply
    31,344.40x = 47,016.88 × 10,567.84
  4. Step 4: Simplify right side
    31,344.40x = 496,866,865.14
  5. Step 5: Solve for x
    x = 496,866,865.14/31,344.40
  6. Step 6: Final answer
    x = 15,851.85

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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.