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Finding the Fourth Proportional to 49,016.64, 67,654.98 and 27,808.32

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Solution

The fourth proportional to 49,016.64, 67,654.98 and 27,808.32 is: 38,382.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,016.64 : 67,654.98 = 27,808.32 : x
  2. Step 2: Convert to fraction form
    49,016.64/67,654.98 = 27,808.32/x
  3. Step 3: Cross multiply
    49,016.64x = 67,654.98 × 27,808.32
  4. Step 4: Simplify right side
    49,016.64x = 1,881,371,333.43
  5. Step 5: Solve for x
    x = 1,881,371,333.43/49,016.64
  6. Step 6: Final answer
    x = 38,382.30

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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.