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Finding the Fourth Proportional to 69,596, 104,412 and 22,849.28

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Solution

The fourth proportional to 69,596, 104,412 and 22,849.28 is: 34,279.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,596 : 104,412 = 22,849.28 : x
  2. Step 2: Convert to fraction form
    69,596/104,412 = 22,849.28/x
  3. Step 3: Cross multiply
    69,596x = 104,412 × 22,849.28
  4. Step 4: Simplify right side
    69,596x = 2,385,739,023.36
  5. Step 5: Solve for x
    x = 2,385,739,023.36/69,596
  6. Step 6: Final answer
    x = 34,279.83

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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.