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Finding the Fourth Proportional to 61,711.34, 85,164.75 and 36,218.82

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Solution

The fourth proportional to 61,711.34, 85,164.75 and 36,218.82 is: 49,983.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,711.34 : 85,164.75 = 36,218.82 : x
  2. Step 2: Convert to fraction form
    61,711.34/85,164.75 = 36,218.82/x
  3. Step 3: Cross multiply
    61,711.34x = 85,164.75 × 36,218.82
  4. Step 4: Simplify right side
    61,711.34x = 3,084,566,324.77
  5. Step 5: Solve for x
    x = 3,084,566,324.77/61,711.34
  6. Step 6: Final answer
    x = 49,983.79

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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.