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Finding the Fourth Proportional to 51,922.90, 71,653.89 and 29,262.25

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Solution

The fourth proportional to 51,922.90, 71,653.89 and 29,262.25 is: 40,382.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,922.90 : 71,653.89 = 29,262.25 : x
  2. Step 2: Convert to fraction form
    51,922.90/71,653.89 = 29,262.25/x
  3. Step 3: Cross multiply
    51,922.90x = 71,653.89 × 29,262.25
  4. Step 4: Simplify right side
    51,922.90x = 2,096,754,042.65
  5. Step 5: Solve for x
    x = 2,096,754,042.65/51,922.90
  6. Step 6: Final answer
    x = 40,382.07

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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.