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Finding the Fourth Proportional to 31,425.96, 47,147.04 and 9,240.06

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Solution

The fourth proportional to 31,425.96, 47,147.04 and 9,240.06 is: 13,862.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,425.96 : 47,147.04 = 9,240.06 : x
  2. Step 2: Convert to fraction form
    31,425.96/47,147.04 = 9,240.06/x
  3. Step 3: Cross multiply
    31,425.96x = 47,147.04 × 9,240.06
  4. Step 4: Simplify right side
    31,425.96x = 435,641,478.42
  5. Step 5: Solve for x
    x = 435,641,478.42/31,425.96
  6. Step 6: Final answer
    x = 13,862.47

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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.