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Finding the Fourth Proportional to 38,080.57, 52,543.86 and 24,649.96

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Solution

The fourth proportional to 38,080.57, 52,543.86 and 24,649.96 is: 34,012.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,080.57 : 52,543.86 = 24,649.96 : x
  2. Step 2: Convert to fraction form
    38,080.57/52,543.86 = 24,649.96/x
  3. Step 3: Cross multiply
    38,080.57x = 52,543.86 × 24,649.96
  4. Step 4: Simplify right side
    38,080.57x = 1,295,204,047.25
  5. Step 5: Solve for x
    x = 1,295,204,047.25/38,080.57
  6. Step 6: Final answer
    x = 34,012.20

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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.