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Finding the Fourth Proportional to 109,497.29, 164,246.07 and 26,391.29

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Solution

The fourth proportional to 109,497.29, 164,246.07 and 26,391.29 is: 39,586.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,497.29 : 164,246.07 = 26,391.29 : x
  2. Step 2: Convert to fraction form
    109,497.29/164,246.07 = 26,391.29/x
  3. Step 3: Cross multiply
    109,497.29x = 164,246.07 × 26,391.29
  4. Step 4: Simplify right side
    109,497.29x = 4,334,664,843.50
  5. Step 5: Solve for x
    x = 4,334,664,843.50/109,497.29
  6. Step 6: Final answer
    x = 39,586.96

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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.