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Finding the Fourth Proportional to 31,914.68, 44,043.80 and 17,767.52

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Solution

The fourth proportional to 31,914.68, 44,043.80 and 17,767.52 is: 24,520.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,914.68 : 44,043.80 = 17,767.52 : x
  2. Step 2: Convert to fraction form
    31,914.68/44,043.80 = 17,767.52/x
  3. Step 3: Cross multiply
    31,914.68x = 44,043.80 × 17,767.52
  4. Step 4: Simplify right side
    31,914.68x = 782,549,097.38
  5. Step 5: Solve for x
    x = 782,549,097.38/31,914.68
  6. Step 6: Final answer
    x = 24,520.04

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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.