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Finding the Fourth Proportional to 83,000.11, 114,540.75 and 47,188

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Solution

The fourth proportional to 83,000.11, 114,540.75 and 47,188 is: 65,119.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,000.11 : 114,540.75 = 47,188 : x
  2. Step 2: Convert to fraction form
    83,000.11/114,540.75 = 47,188/x
  3. Step 3: Cross multiply
    83,000.11x = 114,540.75 × 47,188
  4. Step 4: Simplify right side
    83,000.11x = 5,404,948,911
  5. Step 5: Solve for x
    x = 5,404,948,911/83,000.11
  6. Step 6: Final answer
    x = 65,119.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.