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Finding the Fourth Proportional to 54,394.92, 75,065.40 and 35,532

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Solution

The fourth proportional to 54,394.92, 75,065.40 and 35,532 is: 49,034.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,394.92 : 75,065.40 = 35,532 : x
  2. Step 2: Convert to fraction form
    54,394.92/75,065.40 = 35,532/x
  3. Step 3: Cross multiply
    54,394.92x = 75,065.40 × 35,532
  4. Step 4: Simplify right side
    54,394.92x = 2,667,223,792.80
  5. Step 5: Solve for x
    x = 2,667,223,792.80/54,394.92
  6. Step 6: Final answer
    x = 49,034.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.