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Finding the Fourth Proportional to 34,262.38, 47,279.49 and 20,831.77

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Solution

The fourth proportional to 34,262.38, 47,279.49 and 20,831.77 is: 28,746.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,262.38 : 47,279.49 = 20,831.77 : x
  2. Step 2: Convert to fraction form
    34,262.38/47,279.49 = 20,831.77/x
  3. Step 3: Cross multiply
    34,262.38x = 47,279.49 × 20,831.77
  4. Step 4: Simplify right side
    34,262.38x = 984,915,461.40
  5. Step 5: Solve for x
    x = 984,915,461.40/34,262.38
  6. Step 6: Final answer
    x = 28,746.27

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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.