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Finding the Fourth Proportional to 37,469.00, 51,684.59 and 24,717.65

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Solution

The fourth proportional to 37,469.00, 51,684.59 and 24,717.65 is: 34,095.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,469.00 : 51,684.59 = 24,717.65 : x
  2. Step 2: Convert to fraction form
    37,469.00/51,684.59 = 24,717.65/x
  3. Step 3: Cross multiply
    37,469.00x = 51,684.59 × 24,717.65
  4. Step 4: Simplify right side
    37,469.00x = 1,277,521,409.38
  5. Step 5: Solve for x
    x = 1,277,521,409.38/37,469.00
  6. Step 6: Final answer
    x = 34,095.43

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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.