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Finding the Fourth Proportional to 48,549, 66,996 and 27,327

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Solution

The fourth proportional to 48,549, 66,996 and 27,327 is: 37,710.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,549 : 66,996 = 27,327 : x
  2. Step 2: Convert to fraction form
    48,549/66,996 = 27,327/x
  3. Step 3: Cross multiply
    48,549x = 66,996 × 27,327
  4. Step 4: Simplify right side
    48,549x = 1,830,799,692
  5. Step 5: Solve for x
    x = 1,830,799,692/48,549
  6. Step 6: Final answer
    x = 37,710.35

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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.