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Finding the Fourth Proportional to 71,264.16, 106,934.16 and 40,101.60

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Solution

The fourth proportional to 71,264.16, 106,934.16 and 40,101.60 is: 60,173.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,264.16 : 106,934.16 = 40,101.60 : x
  2. Step 2: Convert to fraction form
    71,264.16/106,934.16 = 40,101.60/x
  3. Step 3: Cross multiply
    71,264.16x = 106,934.16 × 40,101.60
  4. Step 4: Simplify right side
    71,264.16x = 4,288,230,910.66
  5. Step 5: Solve for x
    x = 4,288,230,910.66/71,264.16
  6. Step 6: Final answer
    x = 60,173.74

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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.