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Finding the Fourth Proportional to 48,797.72, 67,343.10 and 27,577.88

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Solution

The fourth proportional to 48,797.72, 67,343.10 and 27,577.88 is: 38,058.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,797.72 : 67,343.10 = 27,577.88 : x
  2. Step 2: Convert to fraction form
    48,797.72/67,343.10 = 27,577.88/x
  3. Step 3: Cross multiply
    48,797.72x = 67,343.10 × 27,577.88
  4. Step 4: Simplify right side
    48,797.72x = 1,857,179,930.63
  5. Step 5: Solve for x
    x = 1,857,179,930.63/48,797.72
  6. Step 6: Final answer
    x = 38,058.74

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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.