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Finding the Fourth Proportional to 75,155.94, 112,735.98 and 22,565.44

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Solution

The fourth proportional to 75,155.94, 112,735.98 and 22,565.44 is: 33,848.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,155.94 : 112,735.98 = 22,565.44 : x
  2. Step 2: Convert to fraction form
    75,155.94/112,735.98 = 22,565.44/x
  3. Step 3: Cross multiply
    75,155.94x = 112,735.98 × 22,565.44
  4. Step 4: Simplify right side
    75,155.94x = 2,543,936,992.53
  5. Step 5: Solve for x
    x = 2,543,936,992.53/75,155.94
  6. Step 6: Final answer
    x = 33,848.78

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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.