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Finding the Fourth Proportional to 31,978.87, 44,132.04 and 17,834.45

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Solution

The fourth proportional to 31,978.87, 44,132.04 and 17,834.45 is: 24,612.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,978.87 : 44,132.04 = 17,834.45 : x
  2. Step 2: Convert to fraction form
    31,978.87/44,132.04 = 17,834.45/x
  3. Step 3: Cross multiply
    31,978.87x = 44,132.04 × 17,834.45
  4. Step 4: Simplify right side
    31,978.87x = 787,070,440.12
  5. Step 5: Solve for x
    x = 787,070,440.12/31,978.87
  6. Step 6: Final answer
    x = 24,612.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.