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Finding the Fourth Proportional to 47,549.50, 65,635.59 and 27,677.50

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Solution

The fourth proportional to 47,549.50, 65,635.59 and 27,677.50 is: 38,205.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,549.50 : 65,635.59 = 27,677.50 : x
  2. Step 2: Convert to fraction form
    47,549.50/65,635.59 = 27,677.50/x
  3. Step 3: Cross multiply
    47,549.50x = 65,635.59 × 27,677.50
  4. Step 4: Simplify right side
    47,549.50x = 1,816,629,042.23
  5. Step 5: Solve for x
    x = 1,816,629,042.23/47,549.50
  6. Step 6: Final answer
    x = 38,205.01

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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.