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Finding the Fourth Proportional to 31,976.75, 44,117.17 and 18,543.10

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Solution

The fourth proportional to 31,976.75, 44,117.17 and 18,543.10 is: 25,583.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,976.75 : 44,117.17 = 18,543.10 : x
  2. Step 2: Convert to fraction form
    31,976.75/44,117.17 = 18,543.10/x
  3. Step 3: Cross multiply
    31,976.75x = 44,117.17 × 18,543.10
  4. Step 4: Simplify right side
    31,976.75x = 818,068,938.38
  5. Step 5: Solve for x
    x = 818,068,938.38/31,976.75
  6. Step 6: Final answer
    x = 25,583.25

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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.