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Finding the Fourth Proportional to 70,906.40, 106,327.08 and 24,140.24

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Solution

The fourth proportional to 70,906.40, 106,327.08 and 24,140.24 is: 36,199.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,906.40 : 106,327.08 = 24,140.24 : x
  2. Step 2: Convert to fraction form
    70,906.40/106,327.08 = 24,140.24/x
  3. Step 3: Cross multiply
    70,906.40x = 106,327.08 × 24,140.24
  4. Step 4: Simplify right side
    70,906.40x = 2,566,761,229.70
  5. Step 5: Solve for x
    x = 2,566,761,229.70/70,906.40
  6. Step 6: Final answer
    x = 36,199.29

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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.