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Finding the Fourth Proportional to 71,663.70, 107,544.15 and 46,642.80

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Solution

The fourth proportional to 71,663.70, 107,544.15 and 46,642.80 is: 69,995.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,663.70 : 107,544.15 = 46,642.80 : x
  2. Step 2: Convert to fraction form
    71,663.70/107,544.15 = 46,642.80/x
  3. Step 3: Cross multiply
    71,663.70x = 107,544.15 × 46,642.80
  4. Step 4: Simplify right side
    71,663.70x = 5,016,160,279.62
  5. Step 5: Solve for x
    x = 5,016,160,279.62/71,663.70
  6. Step 6: Final answer
    x = 69,995.83

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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.