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Finding the Fourth Proportional to 109,702.75, 164,554.13 and 26,596.75

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Solution

The fourth proportional to 109,702.75, 164,554.13 and 26,596.75 is: 39,895.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,702.75 : 164,554.13 = 26,596.75 : x
  2. Step 2: Convert to fraction form
    109,702.75/164,554.13 = 26,596.75/x
  3. Step 3: Cross multiply
    109,702.75x = 164,554.13 × 26,596.75
  4. Step 4: Simplify right side
    109,702.75x = 4,376,605,057.08
  5. Step 5: Solve for x
    x = 4,376,605,057.08/109,702.75
  6. Step 6: Final answer
    x = 39,895.13

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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.