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Finding the Fourth Proportional to 70,887.65, 106,452.81 and 47,346.48

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Solution

The fourth proportional to 70,887.65, 106,452.81 and 47,346.48 is: 71,100.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,887.65 : 106,452.81 = 47,346.48 : x
  2. Step 2: Convert to fraction form
    70,887.65/106,452.81 = 47,346.48/x
  3. Step 3: Cross multiply
    70,887.65x = 106,452.81 × 47,346.48
  4. Step 4: Simplify right side
    70,887.65x = 5,040,165,839.61
  5. Step 5: Solve for x
    x = 5,040,165,839.61/70,887.65
  6. Step 6: Final answer
    x = 71,100.77

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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.