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Finding the Fourth Proportional to 51,878.78, 77,842.47 and 25,569.17

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Solution

The fourth proportional to 51,878.78, 77,842.47 and 25,569.17 is: 38,365.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,878.78 : 77,842.47 = 25,569.17 : x
  2. Step 2: Convert to fraction form
    51,878.78/77,842.47 = 25,569.17/x
  3. Step 3: Cross multiply
    51,878.78x = 77,842.47 × 25,569.17
  4. Step 4: Simplify right side
    51,878.78x = 1,990,367,348.65
  5. Step 5: Solve for x
    x = 1,990,367,348.65/51,878.78
  6. Step 6: Final answer
    x = 38,365.73

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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.