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Finding the Fourth Proportional to 71,652.33, 107,479.50 and 27,281.50

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Solution

The fourth proportional to 71,652.33, 107,479.50 and 27,281.50 is: 40,922.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,652.33 : 107,479.50 = 27,281.50 : x
  2. Step 2: Convert to fraction form
    71,652.33/107,479.50 = 27,281.50/x
  3. Step 3: Cross multiply
    71,652.33x = 107,479.50 × 27,281.50
  4. Step 4: Simplify right side
    71,652.33x = 2,932,201,979.25
  5. Step 5: Solve for x
    x = 2,932,201,979.25/71,652.33
  6. Step 6: Final answer
    x = 40,922.63

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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.