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Finding the Fourth Proportional to 31,425.85, 47,138.76 and 9,239.41

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Solution

The fourth proportional to 31,425.85, 47,138.76 and 9,239.41 is: 13,859.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,425.85 : 47,138.76 = 9,239.41 : x
  2. Step 2: Convert to fraction form
    31,425.85/47,138.76 = 9,239.41/x
  3. Step 3: Cross multiply
    31,425.85x = 47,138.76 × 9,239.41
  4. Step 4: Simplify right side
    31,425.85x = 435,534,048.64
  5. Step 5: Solve for x
    x = 435,534,048.64/31,425.85
  6. Step 6: Final answer
    x = 13,859.10

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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.