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Finding the Fourth Proportional to 75,275.78, 112,815.24 and 30,850.52

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Solution

The fourth proportional to 75,275.78, 112,815.24 and 30,850.52 is: 46,235.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,275.78 : 112,815.24 = 30,850.52 : x
  2. Step 2: Convert to fraction form
    75,275.78/112,815.24 = 30,850.52/x
  3. Step 3: Cross multiply
    75,275.78x = 112,815.24 × 30,850.52
  4. Step 4: Simplify right side
    75,275.78x = 3,480,408,817.92
  5. Step 5: Solve for x
    x = 3,480,408,817.92/75,275.78
  6. Step 6: Final answer
    x = 46,235.44

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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.