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Finding the Fourth Proportional to 71,180.70, 106,778.34 and 24,427.50

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Solution

The fourth proportional to 71,180.70, 106,778.34 and 24,427.50 is: 36,643.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,180.70 : 106,778.34 = 24,427.50 : x
  2. Step 2: Convert to fraction form
    71,180.70/106,778.34 = 24,427.50/x
  3. Step 3: Cross multiply
    71,180.70x = 106,778.34 × 24,427.50
  4. Step 4: Simplify right side
    71,180.70x = 2,608,327,900.35
  5. Step 5: Solve for x
    x = 2,608,327,900.35/71,180.70
  6. Step 6: Final answer
    x = 36,643.75

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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.