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Finding the Fourth Proportional to 109,911.70, 164,867.55 and 26,805.70

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Solution

The fourth proportional to 109,911.70, 164,867.55 and 26,805.70 is: 40,208.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,911.70 : 164,867.55 = 26,805.70 : x
  2. Step 2: Convert to fraction form
    109,911.70/164,867.55 = 26,805.70/x
  3. Step 3: Cross multiply
    109,911.70x = 164,867.55 × 26,805.70
  4. Step 4: Simplify right side
    109,911.70x = 4,419,390,085.04
  5. Step 5: Solve for x
    x = 4,419,390,085.04/109,911.70
  6. Step 6: Final answer
    x = 40,208.55

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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.