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Finding the Fourth Proportional to 52,878.42, 72,984.92 and 35,910.95

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Solution

The fourth proportional to 52,878.42, 72,984.92 and 35,910.95 is: 49,565.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,878.42 : 72,984.92 = 35,910.95 : x
  2. Step 2: Convert to fraction form
    52,878.42/72,984.92 = 35,910.95/x
  3. Step 3: Cross multiply
    52,878.42x = 72,984.92 × 35,910.95
  4. Step 4: Simplify right side
    52,878.42x = 2,620,957,268.39
  5. Step 5: Solve for x
    x = 2,620,957,268.39/52,878.42
  6. Step 6: Final answer
    x = 49,565.73

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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.