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Finding the Fourth Proportional to 38,578.70, 53,231.34 and 22,657.34

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Solution

The fourth proportional to 38,578.70, 53,231.34 and 22,657.34 is: 31,262.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,578.70 : 53,231.34 = 22,657.34 : x
  2. Step 2: Convert to fraction form
    38,578.70/53,231.34 = 22,657.34/x
  3. Step 3: Cross multiply
    38,578.70x = 53,231.34 × 22,657.34
  4. Step 4: Simplify right side
    38,578.70x = 1,206,080,569.04
  5. Step 5: Solve for x
    x = 1,206,080,569.04/38,578.70
  6. Step 6: Final answer
    x = 31,262.86

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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.