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Finding the Fourth Proportional to 70,961.50, 106,442.25 and 24,214.39

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Solution

The fourth proportional to 70,961.50, 106,442.25 and 24,214.39 is: 36,321.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,961.50 : 106,442.25 = 24,214.39 : x
  2. Step 2: Convert to fraction form
    70,961.50/106,442.25 = 24,214.39/x
  3. Step 3: Cross multiply
    70,961.50x = 106,442.25 × 24,214.39
  4. Step 4: Simplify right side
    70,961.50x = 2,577,434,153.98
  5. Step 5: Solve for x
    x = 2,577,434,153.98/70,961.50
  6. Step 6: Final answer
    x = 36,321.59

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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.