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Finding the Fourth Proportional to 54,615.65, 81,794.22 and 34,834.23

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Solution

The fourth proportional to 54,615.65, 81,794.22 and 34,834.23 is: 52,168.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,615.65 : 81,794.22 = 34,834.23 : x
  2. Step 2: Convert to fraction form
    54,615.65/81,794.22 = 34,834.23/x
  3. Step 3: Cross multiply
    54,615.65x = 81,794.22 × 34,834.23
  4. Step 4: Simplify right side
    54,615.65x = 2,849,238,672.15
  5. Step 5: Solve for x
    x = 2,849,238,672.15/54,615.65
  6. Step 6: Final answer
    x = 52,168.91

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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.