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Finding the Fourth Proportional to 71,883.48, 107,831.70 and 27,508.44

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Solution

The fourth proportional to 71,883.48, 107,831.70 and 27,508.44 is: 41,265.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,883.48 : 107,831.70 = 27,508.44 : x
  2. Step 2: Convert to fraction form
    71,883.48/107,831.70 = 27,508.44/x
  3. Step 3: Cross multiply
    71,883.48x = 107,831.70 × 27,508.44
  4. Step 4: Simplify right side
    71,883.48x = 2,966,281,849.55
  5. Step 5: Solve for x
    x = 2,966,281,849.55/71,883.48
  6. Step 6: Final answer
    x = 41,265.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.