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Finding the Fourth Proportional to 69,814.52, 96,344.70 and 41,514.74

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Solution

The fourth proportional to 69,814.52, 96,344.70 and 41,514.74 is: 57,290.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,814.52 : 96,344.70 = 41,514.74 : x
  2. Step 2: Convert to fraction form
    69,814.52/96,344.70 = 41,514.74/x
  3. Step 3: Cross multiply
    69,814.52x = 96,344.70 × 41,514.74
  4. Step 4: Simplify right side
    69,814.52x = 3,999,724,963.30
  5. Step 5: Solve for x
    x = 3,999,724,963.30/69,814.52
  6. Step 6: Final answer
    x = 57,290.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.