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Finding the Fourth Proportional to 77,691.96, 116,544.42 and 33,308.01

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Solution

The fourth proportional to 77,691.96, 116,544.42 and 33,308.01 is: 49,964.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,691.96 : 116,544.42 = 33,308.01 : x
  2. Step 2: Convert to fraction form
    77,691.96/116,544.42 = 33,308.01/x
  3. Step 3: Cross multiply
    77,691.96x = 116,544.42 × 33,308.01
  4. Step 4: Simplify right side
    77,691.96x = 3,881,862,706.80
  5. Step 5: Solve for x
    x = 3,881,862,706.80/77,691.96
  6. Step 6: Final answer
    x = 49,964.79

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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.