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Finding the Fourth Proportional to 48,932.90, 67,525.14 and 27,712.32

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Solution

The fourth proportional to 48,932.90, 67,525.14 and 27,712.32 is: 38,241.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,932.90 : 67,525.14 = 27,712.32 : x
  2. Step 2: Convert to fraction form
    48,932.90/67,525.14 = 27,712.32/x
  3. Step 3: Cross multiply
    48,932.90x = 67,525.14 × 27,712.32
  4. Step 4: Simplify right side
    48,932.90x = 1,871,278,287.72
  5. Step 5: Solve for x
    x = 1,871,278,287.72/48,932.90
  6. Step 6: Final answer
    x = 38,241.72

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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.