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Finding the Fourth Proportional to 109,691.88, 164,537.81 and 26,585.88

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Solution

The fourth proportional to 109,691.88, 164,537.81 and 26,585.88 is: 39,878.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,691.88 : 164,537.81 = 26,585.88 : x
  2. Step 2: Convert to fraction form
    109,691.88/164,537.81 = 26,585.88/x
  3. Step 3: Cross multiply
    109,691.88x = 164,537.81 × 26,585.88
  4. Step 4: Simplify right side
    109,691.88x = 4,374,382,472.12
  5. Step 5: Solve for x
    x = 4,374,382,472.12/109,691.88
  6. Step 6: Final answer
    x = 39,878.82

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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.