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Finding the Fourth Proportional to 83,007.46, 114,645.91 and 60,447.34

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Solution

The fourth proportional to 83,007.46, 114,645.91 and 60,447.34 is: 83,486.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,007.46 : 114,645.91 = 60,447.34 : x
  2. Step 2: Convert to fraction form
    83,007.46/114,645.91 = 60,447.34/x
  3. Step 3: Cross multiply
    83,007.46x = 114,645.91 × 60,447.34
  4. Step 4: Simplify right side
    83,007.46x = 6,930,040,301.38
  5. Step 5: Solve for x
    x = 6,930,040,301.38/83,007.46
  6. Step 6: Final answer
    x = 83,486.96

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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.