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Finding the Fourth Proportional to 34,982.92, 52,498.08 and 15,250.08

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Solution

The fourth proportional to 34,982.92, 52,498.08 and 15,250.08 is: 22,885.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,982.92 : 52,498.08 = 15,250.08 : x
  2. Step 2: Convert to fraction form
    34,982.92/52,498.08 = 15,250.08/x
  3. Step 3: Cross multiply
    34,982.92x = 52,498.08 × 15,250.08
  4. Step 4: Simplify right side
    34,982.92x = 800,599,919.85
  5. Step 5: Solve for x
    x = 800,599,919.85/34,982.92
  6. Step 6: Final answer
    x = 22,885.45

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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.