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Finding the Fourth Proportional to 47,446.20, 65,474.01 and 27,306.18

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Solution

The fourth proportional to 47,446.20, 65,474.01 and 27,306.18 is: 37,681.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,446.20 : 65,474.01 = 27,306.18 : x
  2. Step 2: Convert to fraction form
    47,446.20/65,474.01 = 27,306.18/x
  3. Step 3: Cross multiply
    47,446.20x = 65,474.01 × 27,306.18
  4. Step 4: Simplify right side
    47,446.20x = 1,787,845,102.38
  5. Step 5: Solve for x
    x = 1,787,845,102.38/47,446.20
  6. Step 6: Final answer
    x = 37,681.52

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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.