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Finding the Fourth Proportional to 38,618.82, 57,895.29 and 36,781.74

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Solution

The fourth proportional to 38,618.82, 57,895.29 and 36,781.74 is: 55,141.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,618.82 : 57,895.29 = 36,781.74 : x
  2. Step 2: Convert to fraction form
    38,618.82/57,895.29 = 36,781.74/x
  3. Step 3: Cross multiply
    38,618.82x = 57,895.29 × 36,781.74
  4. Step 4: Simplify right side
    38,618.82x = 2,129,489,504.00
  5. Step 5: Solve for x
    x = 2,129,489,504.00/38,618.82
  6. Step 6: Final answer
    x = 55,141.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.