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Finding the Fourth Proportional to 83,298, 124,964.28 and 34,050

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Solution

The fourth proportional to 83,298, 124,964.28 and 34,050 is: 51,082.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,298 : 124,964.28 = 34,050 : x
  2. Step 2: Convert to fraction form
    83,298/124,964.28 = 34,050/x
  3. Step 3: Cross multiply
    83,298x = 124,964.28 × 34,050
  4. Step 4: Simplify right side
    83,298x = 4,255,033,734
  5. Step 5: Solve for x
    x = 4,255,033,734/83,298
  6. Step 6: Final answer
    x = 51,082.06

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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.