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Finding the Fourth Proportional to 75,209.08, 112,694.94 and 27,758.86

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Solution

The fourth proportional to 75,209.08, 112,694.94 and 27,758.86 is: 41,594.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,209.08 : 112,694.94 = 27,758.86 : x
  2. Step 2: Convert to fraction form
    75,209.08/112,694.94 = 27,758.86/x
  3. Step 3: Cross multiply
    75,209.08x = 112,694.94 × 27,758.86
  4. Step 4: Simplify right side
    75,209.08x = 3,128,283,062.17
  5. Step 5: Solve for x
    x = 3,128,283,062.17/75,209.08
  6. Step 6: Final answer
    x = 41,594.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.