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Finding the Fourth Proportional to 31,625.76, 43,643.20 and 17,478.62

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Solution

The fourth proportional to 31,625.76, 43,643.20 and 17,478.62 is: 24,120.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,625.76 : 43,643.20 = 17,478.62 : x
  2. Step 2: Convert to fraction form
    31,625.76/43,643.20 = 17,478.62/x
  3. Step 3: Cross multiply
    31,625.76x = 43,643.20 × 17,478.62
  4. Step 4: Simplify right side
    31,625.76x = 762,822,908.38
  5. Step 5: Solve for x
    x = 762,822,908.38/31,625.76
  6. Step 6: Final answer
    x = 24,120.30

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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.