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Finding the Fourth Proportional to 54,711.39, 82,074.25 and 21,427.13

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Solution

The fourth proportional to 54,711.39, 82,074.25 and 21,427.13 is: 32,143.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,711.39 : 82,074.25 = 21,427.13 : x
  2. Step 2: Convert to fraction form
    54,711.39/82,074.25 = 21,427.13/x
  3. Step 3: Cross multiply
    54,711.39x = 82,074.25 × 21,427.13
  4. Step 4: Simplify right side
    54,711.39x = 1,758,615,624.40
  5. Step 5: Solve for x
    x = 1,758,615,624.40/54,711.39
  6. Step 6: Final answer
    x = 32,143.50

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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.