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Finding the Fourth Proportional to 91,853.14, 137,738.17 and 32,690.39

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Solution

The fourth proportional to 91,853.14, 137,738.17 and 32,690.39 is: 49,020.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,853.14 : 137,738.17 = 32,690.39 : x
  2. Step 2: Convert to fraction form
    91,853.14/137,738.17 = 32,690.39/x
  3. Step 3: Cross multiply
    91,853.14x = 137,738.17 × 32,690.39
  4. Step 4: Simplify right side
    91,853.14x = 4,502,713,847.36
  5. Step 5: Solve for x
    x = 4,502,713,847.36/91,853.14
  6. Step 6: Final answer
    x = 49,020.79

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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.