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Finding the Fourth Proportional to 31,354.20, 47,031.48 and 7,980.66

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Solution

The fourth proportional to 31,354.20, 47,031.48 and 7,980.66 is: 11,971.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,354.20 : 47,031.48 = 7,980.66 : x
  2. Step 2: Convert to fraction form
    31,354.20/47,031.48 = 7,980.66/x
  3. Step 3: Cross multiply
    31,354.20x = 47,031.48 × 7,980.66
  4. Step 4: Simplify right side
    31,354.20x = 375,342,251.18
  5. Step 5: Solve for x
    x = 375,342,251.18/31,354.20
  6. Step 6: Final answer
    x = 11,971.04

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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.