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Finding the Fourth Proportional to 70,895.20, 106,211.60 and 41,327.20

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Solution

The fourth proportional to 70,895.20, 106,211.60 and 41,327.20 is: 61,914.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,895.20 : 106,211.60 = 41,327.20 : x
  2. Step 2: Convert to fraction form
    70,895.20/106,211.60 = 41,327.20/x
  3. Step 3: Cross multiply
    70,895.20x = 106,211.60 × 41,327.20
  4. Step 4: Simplify right side
    70,895.20x = 4,389,428,035.52
  5. Step 5: Solve for x
    x = 4,389,428,035.52/70,895.20
  6. Step 6: Final answer
    x = 61,914.32

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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.