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Finding the Fourth Proportional to 75,231.54, 112,920.75 and 35,815.86

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Solution

The fourth proportional to 75,231.54, 112,920.75 and 35,815.86 is: 53,758.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,231.54 : 112,920.75 = 35,815.86 : x
  2. Step 2: Convert to fraction form
    75,231.54/112,920.75 = 35,815.86/x
  3. Step 3: Cross multiply
    75,231.54x = 112,920.75 × 35,815.86
  4. Step 4: Simplify right side
    75,231.54x = 4,044,353,773.10
  5. Step 5: Solve for x
    x = 4,044,353,773.10/75,231.54
  6. Step 6: Final answer
    x = 53,758.75

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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.