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Finding the Fourth Proportional to 83,091.40, 124,614.06 and 23,911

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Solution

The fourth proportional to 83,091.40, 124,614.06 and 23,911 is: 35,859.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,091.40 : 124,614.06 = 23,911 : x
  2. Step 2: Convert to fraction form
    83,091.40/124,614.06 = 23,911/x
  3. Step 3: Cross multiply
    83,091.40x = 124,614.06 × 23,911
  4. Step 4: Simplify right side
    83,091.40x = 2,979,646,788.66
  5. Step 5: Solve for x
    x = 2,979,646,788.66/83,091.40
  6. Step 6: Final answer
    x = 35,859.87

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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.