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Finding the Fourth Proportional to 35,069.92, 48,388.56 and 20,920

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Solution

The fourth proportional to 35,069.92, 48,388.56 and 20,920 is: 28,864.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,069.92 : 48,388.56 = 20,920 : x
  2. Step 2: Convert to fraction form
    35,069.92/48,388.56 = 20,920/x
  3. Step 3: Cross multiply
    35,069.92x = 48,388.56 × 20,920
  4. Step 4: Simplify right side
    35,069.92x = 1,012,288,675.20
  5. Step 5: Solve for x
    x = 1,012,288,675.20/35,069.92
  6. Step 6: Final answer
    x = 28,864.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.