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Finding the Fourth Proportional to 71,054.78, 106,587.84 and 41,475.61

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Solution

The fourth proportional to 71,054.78, 106,587.84 and 41,475.61 is: 62,216.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,054.78 : 106,587.84 = 41,475.61 : x
  2. Step 2: Convert to fraction form
    71,054.78/106,587.84 = 41,475.61/x
  3. Step 3: Cross multiply
    71,054.78x = 106,587.84 × 41,475.61
  4. Step 4: Simplify right side
    71,054.78x = 4,420,795,149.64
  5. Step 5: Solve for x
    x = 4,420,795,149.64/71,054.78
  6. Step 6: Final answer
    x = 62,216.72

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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.