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Finding the Fourth Proportional to 48,850.64, 67,408.20 and 27,628.88

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Solution

The fourth proportional to 48,850.64, 67,408.20 and 27,628.88 is: 38,124.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,850.64 : 67,408.20 = 27,628.88 : x
  2. Step 2: Convert to fraction form
    48,850.64/67,408.20 = 27,628.88/x
  3. Step 3: Cross multiply
    48,850.64x = 67,408.20 × 27,628.88
  4. Step 4: Simplify right side
    48,850.64x = 1,862,413,068.82
  5. Step 5: Solve for x
    x = 1,862,413,068.82/48,850.64
  6. Step 6: Final answer
    x = 38,124.64

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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.