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Finding the Fourth Proportional to 48,548.52, 66,994.92 and 27,327

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Solution

The fourth proportional to 48,548.52, 66,994.92 and 27,327 is: 37,710.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,548.52 : 66,994.92 = 27,327 : x
  2. Step 2: Convert to fraction form
    48,548.52/66,994.92 = 27,327/x
  3. Step 3: Cross multiply
    48,548.52x = 66,994.92 × 27,327
  4. Step 4: Simplify right side
    48,548.52x = 1,830,770,178.84
  5. Step 5: Solve for x
    x = 1,830,770,178.84/48,548.52
  6. Step 6: Final answer
    x = 37,710.11

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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.