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Finding the Fourth Proportional to 83,690.67, 125,509.33 and 27,517.74

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Solution

The fourth proportional to 83,690.67, 125,509.33 and 27,517.74 is: 41,267.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,690.67 : 125,509.33 = 27,517.74 : x
  2. Step 2: Convert to fraction form
    83,690.67/125,509.33 = 27,517.74/x
  3. Step 3: Cross multiply
    83,690.67x = 125,509.33 × 27,517.74
  4. Step 4: Simplify right side
    83,690.67x = 3,453,733,110.51
  5. Step 5: Solve for x
    x = 3,453,733,110.51/83,690.67
  6. Step 6: Final answer
    x = 41,267.84

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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.