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Finding the Fourth Proportional to 50,738.24, 70,018.86 and 28,078.19

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Solution

The fourth proportional to 50,738.24, 70,018.86 and 28,078.19 is: 38,747.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,738.24 : 70,018.86 = 28,078.19 : x
  2. Step 2: Convert to fraction form
    50,738.24/70,018.86 = 28,078.19/x
  3. Step 3: Cross multiply
    50,738.24x = 70,018.86 × 28,078.19
  4. Step 4: Simplify right side
    50,738.24x = 1,966,002,854.66
  5. Step 5: Solve for x
    x = 1,966,002,854.66/50,738.24
  6. Step 6: Final answer
    x = 38,747.95

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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.