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Finding the Fourth Proportional to 34,286.68, 51,392.22 and 19,463.68

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Solution

The fourth proportional to 34,286.68, 51,392.22 and 19,463.68 is: 29,174.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,286.68 : 51,392.22 = 19,463.68 : x
  2. Step 2: Convert to fraction form
    34,286.68/51,392.22 = 19,463.68/x
  3. Step 3: Cross multiply
    34,286.68x = 51,392.22 × 19,463.68
  4. Step 4: Simplify right side
    34,286.68x = 1,000,281,724.57
  5. Step 5: Solve for x
    x = 1,000,281,724.57/34,286.68
  6. Step 6: Final answer
    x = 29,174.06

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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.