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Finding the Fourth Proportional to 67,778.16, 93,524.52 and 39,462

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Solution

The fourth proportional to 67,778.16, 93,524.52 and 39,462 is: 54,452.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,778.16 : 93,524.52 = 39,462 : x
  2. Step 2: Convert to fraction form
    67,778.16/93,524.52 = 39,462/x
  3. Step 3: Cross multiply
    67,778.16x = 93,524.52 × 39,462
  4. Step 4: Simplify right side
    67,778.16x = 3,690,664,608.24
  5. Step 5: Solve for x
    x = 3,690,664,608.24/67,778.16
  6. Step 6: Final answer
    x = 54,452.12

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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.