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Finding the Fourth Proportional to 48,894.96, 73,379.32 and 35,781.20

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Solution

The fourth proportional to 48,894.96, 73,379.32 and 35,781.20 is: 53,698.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,894.96 : 73,379.32 = 35,781.20 : x
  2. Step 2: Convert to fraction form
    48,894.96/73,379.32 = 35,781.20/x
  3. Step 3: Cross multiply
    48,894.96x = 73,379.32 × 35,781.20
  4. Step 4: Simplify right side
    48,894.96x = 2,625,600,124.78
  5. Step 5: Solve for x
    x = 2,625,600,124.78/48,894.96
  6. Step 6: Final answer
    x = 53,698.79

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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.