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Finding the Fourth Proportional to 39,778.52, 54,894.15 and 23,435.21

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Solution

The fourth proportional to 39,778.52, 54,894.15 and 23,435.21 is: 32,340.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,778.52 : 54,894.15 = 23,435.21 : x
  2. Step 2: Convert to fraction form
    39,778.52/54,894.15 = 23,435.21/x
  3. Step 3: Cross multiply
    39,778.52x = 54,894.15 × 23,435.21
  4. Step 4: Simplify right side
    39,778.52x = 1,286,455,933.02
  5. Step 5: Solve for x
    x = 1,286,455,933.02/39,778.52
  6. Step 6: Final answer
    x = 32,340.47

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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.