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Finding the Fourth Proportional to 34,392.13, 47,464.92 and 19,286.24

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Solution

The fourth proportional to 34,392.13, 47,464.92 and 19,286.24 is: 26,617.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,392.13 : 47,464.92 = 19,286.24 : x
  2. Step 2: Convert to fraction form
    34,392.13/47,464.92 = 19,286.24/x
  3. Step 3: Cross multiply
    34,392.13x = 47,464.92 × 19,286.24
  4. Step 4: Simplify right side
    34,392.13x = 915,419,601.38
  5. Step 5: Solve for x
    x = 915,419,601.38/34,392.13
  6. Step 6: Final answer
    x = 26,617.13

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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.