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Finding the Fourth Proportional to 71,147.52, 106,776.36 and 26,814.60

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Solution

The fourth proportional to 71,147.52, 106,776.36 and 26,814.60 is: 40,242.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,147.52 : 106,776.36 = 26,814.60 : x
  2. Step 2: Convert to fraction form
    71,147.52/106,776.36 = 26,814.60/x
  3. Step 3: Cross multiply
    71,147.52x = 106,776.36 × 26,814.60
  4. Step 4: Simplify right side
    71,147.52x = 2,863,165,382.86
  5. Step 5: Solve for x
    x = 2,863,165,382.86/71,147.52
  6. Step 6: Final answer
    x = 40,242.66

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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.