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Finding the Fourth Proportional to 34,834.40, 48,082.40 and 22,259.20

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Solution

The fourth proportional to 34,834.40, 48,082.40 and 22,259.20 is: 30,724.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,834.40 : 48,082.40 = 22,259.20 : x
  2. Step 2: Convert to fraction form
    34,834.40/48,082.40 = 22,259.20/x
  3. Step 3: Cross multiply
    34,834.40x = 48,082.40 × 22,259.20
  4. Step 4: Simplify right side
    34,834.40x = 1,070,275,758.08
  5. Step 5: Solve for x
    x = 1,070,275,758.08/34,834.40
  6. Step 6: Final answer
    x = 30,724.68

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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.