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Finding the Fourth Proportional to 31,202.52, 43,088.38 and 20,044.12

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Solution

The fourth proportional to 31,202.52, 43,088.38 and 20,044.12 is: 27,679.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,202.52 : 43,088.38 = 20,044.12 : x
  2. Step 2: Convert to fraction form
    31,202.52/43,088.38 = 20,044.12/x
  3. Step 3: Cross multiply
    31,202.52x = 43,088.38 × 20,044.12
  4. Step 4: Simplify right side
    31,202.52x = 863,668,659.33
  5. Step 5: Solve for x
    x = 863,668,659.33/31,202.52
  6. Step 6: Final answer
    x = 27,679.45

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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.