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Finding the Fourth Proportional to 77,419.80, 116,177.88 and 41,866.36

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Solution

The fourth proportional to 77,419.80, 116,177.88 and 41,866.36 is: 62,825.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,419.80 : 116,177.88 = 41,866.36 : x
  2. Step 2: Convert to fraction form
    77,419.80/116,177.88 = 41,866.36/x
  3. Step 3: Cross multiply
    77,419.80x = 116,177.88 × 41,866.36
  4. Step 4: Simplify right side
    77,419.80x = 4,863,944,592.42
  5. Step 5: Solve for x
    x = 4,863,944,592.42/77,419.80
  6. Step 6: Final answer
    x = 62,825.59

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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.