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Finding the Fourth Proportional to 47,549, 65,634.90 and 27,677

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Solution

The fourth proportional to 47,549, 65,634.90 and 27,677 is: 38,204.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,549 : 65,634.90 = 27,677 : x
  2. Step 2: Convert to fraction form
    47,549/65,634.90 = 27,677/x
  3. Step 3: Cross multiply
    47,549x = 65,634.90 × 27,677
  4. Step 4: Simplify right side
    47,549x = 1,816,577,127.30
  5. Step 5: Solve for x
    x = 1,816,577,127.30/47,549
  6. Step 6: Final answer
    x = 38,204.32

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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.