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Finding the Fourth Proportional to 71,765.74, 107,648.49 and 24,385.76

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Solution

The fourth proportional to 71,765.74, 107,648.49 and 24,385.76 is: 36,578.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,765.74 : 107,648.49 = 24,385.76 : x
  2. Step 2: Convert to fraction form
    71,765.74/107,648.49 = 24,385.76/x
  3. Step 3: Cross multiply
    71,765.74x = 107,648.49 × 24,385.76
  4. Step 4: Simplify right side
    71,765.74x = 2,625,090,241.50
  5. Step 5: Solve for x
    x = 2,625,090,241.50/71,765.74
  6. Step 6: Final answer
    x = 36,578.60

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1.5x scale

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.