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Finding the Fourth Proportional to 48,882.84, 67,459.72 and 27,661.64

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Solution

The fourth proportional to 48,882.84, 67,459.72 and 27,661.64 is: 38,173.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,882.84 : 67,459.72 = 27,661.64 : x
  2. Step 2: Convert to fraction form
    48,882.84/67,459.72 = 27,661.64/x
  3. Step 3: Cross multiply
    48,882.84x = 67,459.72 × 27,661.64
  4. Step 4: Simplify right side
    48,882.84x = 1,866,046,489.14
  5. Step 5: Solve for x
    x = 1,866,046,489.14/48,882.84
  6. Step 6: Final answer
    x = 38,173.86

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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.