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Finding the Fourth Proportional to 71,034.66, 106,569.30 and 23,649.66

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Solution

The fourth proportional to 71,034.66, 106,569.30 and 23,649.66 is: 35,480.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,034.66 : 106,569.30 = 23,649.66 : x
  2. Step 2: Convert to fraction form
    71,034.66/106,569.30 = 23,649.66/x
  3. Step 3: Cross multiply
    71,034.66x = 106,569.30 × 23,649.66
  4. Step 4: Simplify right side
    71,034.66x = 2,520,327,711.44
  5. Step 5: Solve for x
    x = 2,520,327,711.44/71,034.66
  6. Step 6: Final answer
    x = 35,480.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.