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Finding the Fourth Proportional to 61,686.26, 85,123.73 and 36,189.14

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Solution

The fourth proportional to 61,686.26, 85,123.73 and 36,189.14 is: 49,939.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,686.26 : 85,123.73 = 36,189.14 : x
  2. Step 2: Convert to fraction form
    61,686.26/85,123.73 = 36,189.14/x
  3. Step 3: Cross multiply
    61,686.26x = 85,123.73 × 36,189.14
  4. Step 4: Simplify right side
    61,686.26x = 3,080,554,582.29
  5. Step 5: Solve for x
    x = 3,080,554,582.29/61,686.26
  6. Step 6: Final answer
    x = 49,939.07

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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.