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Finding the Fourth Proportional to 91,397.84, 137,067.42 and 29,053.76

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Solution

The fourth proportional to 91,397.84, 137,067.42 and 29,053.76 is: 43,571.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,397.84 : 137,067.42 = 29,053.76 : x
  2. Step 2: Convert to fraction form
    91,397.84/137,067.42 = 29,053.76/x
  3. Step 3: Cross multiply
    91,397.84x = 137,067.42 × 29,053.76
  4. Step 4: Simplify right side
    91,397.84x = 3,982,323,924.50
  5. Step 5: Solve for x
    x = 3,982,323,924.50/91,397.84
  6. Step 6: Final answer
    x = 43,571.31

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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.