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Finding the Fourth Proportional to 83,799.69, 115,610.67 and 47,970.42

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Solution

The fourth proportional to 83,799.69, 115,610.67 and 47,970.42 is: 66,180.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,799.69 : 115,610.67 = 47,970.42 : x
  2. Step 2: Convert to fraction form
    83,799.69/115,610.67 = 47,970.42/x
  3. Step 3: Cross multiply
    83,799.69x = 115,610.67 × 47,970.42
  4. Step 4: Simplify right side
    83,799.69x = 5,545,892,396.38
  5. Step 5: Solve for x
    x = 5,545,892,396.38/83,799.69
  6. Step 6: Final answer
    x = 66,180.35

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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.