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Finding the Fourth Proportional to 83,679.36, 125,492.37 and 27,506.46

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Solution

The fourth proportional to 83,679.36, 125,492.37 and 27,506.46 is: 41,250.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,679.36 : 125,492.37 = 27,506.46 : x
  2. Step 2: Convert to fraction form
    83,679.36/125,492.37 = 27,506.46/x
  3. Step 3: Cross multiply
    83,679.36x = 125,492.37 × 27,506.46
  4. Step 4: Simplify right side
    83,679.36x = 3,451,850,855.71
  5. Step 5: Solve for x
    x = 3,451,850,855.71/83,679.36
  6. Step 6: Final answer
    x = 41,250.92

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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.