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Finding the Fourth Proportional to 39,846.14, 54,987.06 and 23,724.70

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Solution

The fourth proportional to 39,846.14, 54,987.06 and 23,724.70 is: 32,739.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,846.14 : 54,987.06 = 23,724.70 : x
  2. Step 2: Convert to fraction form
    39,846.14/54,987.06 = 23,724.70/x
  3. Step 3: Cross multiply
    39,846.14x = 54,987.06 × 23,724.70
  4. Step 4: Simplify right side
    39,846.14x = 1,304,551,502.38
  5. Step 5: Solve for x
    x = 1,304,551,502.38/39,846.14
  6. Step 6: Final answer
    x = 32,739.72

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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.