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Finding the Fourth Proportional to 75,091.43, 112,668.47 and 32,949.74

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Solution

The fourth proportional to 75,091.43, 112,668.47 and 32,949.74 is: 49,438.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,091.43 : 112,668.47 = 32,949.74 : x
  2. Step 2: Convert to fraction form
    75,091.43/112,668.47 = 32,949.74/x
  3. Step 3: Cross multiply
    75,091.43x = 112,668.47 × 32,949.74
  4. Step 4: Simplify right side
    75,091.43x = 3,712,396,627.95
  5. Step 5: Solve for x
    x = 3,712,396,627.95/75,091.43
  6. Step 6: Final answer
    x = 49,438.35

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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.