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Finding the Fourth Proportional to 48,886.80, 67,463.46 and 27,665.64

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Solution

The fourth proportional to 48,886.80, 67,463.46 and 27,665.64 is: 38,178.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,886.80 : 67,463.46 = 27,665.64 : x
  2. Step 2: Convert to fraction form
    48,886.80/67,463.46 = 27,665.64/x
  3. Step 3: Cross multiply
    48,886.80x = 67,463.46 × 27,665.64
  4. Step 4: Simplify right side
    48,886.80x = 1,866,419,797.51
  5. Step 5: Solve for x
    x = 1,866,419,797.51/48,886.80
  6. Step 6: Final answer
    x = 38,178.40

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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.