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Finding the Fourth Proportional to 75,754.54, 113,620.88 and 23,149.90

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Solution

The fourth proportional to 75,754.54, 113,620.88 and 23,149.90 is: 34,721.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,754.54 : 113,620.88 = 23,149.90 : x
  2. Step 2: Convert to fraction form
    75,754.54/113,620.88 = 23,149.90/x
  3. Step 3: Cross multiply
    75,754.54x = 113,620.88 × 23,149.90
  4. Step 4: Simplify right side
    75,754.54x = 2,630,312,079.59
  5. Step 5: Solve for x
    x = 2,630,312,079.59/75,754.54
  6. Step 6: Final answer
    x = 34,721.51

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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.