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Finding the Fourth Proportional to 50,781.92, 70,078.16 and 28,120.40

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Solution

The fourth proportional to 50,781.92, 70,078.16 and 28,120.40 is: 38,805.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,781.92 : 70,078.16 = 28,120.40 : x
  2. Step 2: Convert to fraction form
    50,781.92/70,078.16 = 28,120.40/x
  3. Step 3: Cross multiply
    50,781.92x = 70,078.16 × 28,120.40
  4. Step 4: Simplify right side
    50,781.92x = 1,970,625,890.46
  5. Step 5: Solve for x
    x = 1,970,625,890.46/50,781.92
  6. Step 6: Final answer
    x = 38,805.66

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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.