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Finding the Fourth Proportional to 91,362.98, 137,067.78 and 38,037.24

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Solution

The fourth proportional to 91,362.98, 137,067.78 and 38,037.24 is: 57,065.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,362.98 : 137,067.78 = 38,037.24 : x
  2. Step 2: Convert to fraction form
    91,362.98/137,067.78 = 38,037.24/x
  3. Step 3: Cross multiply
    91,362.98x = 137,067.78 × 38,037.24
  4. Step 4: Simplify right side
    91,362.98x = 5,213,680,044.13
  5. Step 5: Solve for x
    x = 5,213,680,044.13/91,362.98
  6. Step 6: Final answer
    x = 57,065.56

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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.