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Finding the Fourth Proportional to 50,815.97, 70,124.67 and 29,305.20

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Solution

The fourth proportional to 50,815.97, 70,124.67 and 29,305.20 is: 40,440.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,815.97 : 70,124.67 = 29,305.20 : x
  2. Step 2: Convert to fraction form
    50,815.97/70,124.67 = 29,305.20/x
  3. Step 3: Cross multiply
    50,815.97x = 70,124.67 × 29,305.20
  4. Step 4: Simplify right side
    50,815.97x = 2,055,017,479.28
  5. Step 5: Solve for x
    x = 2,055,017,479.28/50,815.97
  6. Step 6: Final answer
    x = 40,440.39

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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.