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Finding the Fourth Proportional to 83,980.38, 115,884.26 and 51,709.84

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Solution

The fourth proportional to 83,980.38, 115,884.26 and 51,709.84 is: 71,354.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,980.38 : 115,884.26 = 51,709.84 : x
  2. Step 2: Convert to fraction form
    83,980.38/115,884.26 = 51,709.84/x
  3. Step 3: Cross multiply
    83,980.38x = 115,884.26 × 51,709.84
  4. Step 4: Simplify right side
    83,980.38x = 5,992,356,543.12
  5. Step 5: Solve for x
    x = 5,992,356,543.12/83,980.38
  6. Step 6: Final answer
    x = 71,354.24

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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.