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Finding the Fourth Proportional to 83,789.64, 115,674.48 and 51,985.80

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Solution

The fourth proportional to 83,789.64, 115,674.48 and 51,985.80 is: 71,768.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,789.64 : 115,674.48 = 51,985.80 : x
  2. Step 2: Convert to fraction form
    83,789.64/115,674.48 = 51,985.80/x
  3. Step 3: Cross multiply
    83,789.64x = 115,674.48 × 51,985.80
  4. Step 4: Simplify right side
    83,789.64x = 6,013,430,382.38
  5. Step 5: Solve for x
    x = 6,013,430,382.38/83,789.64
  6. Step 6: Final answer
    x = 71,768.18

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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.