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Finding the Fourth Proportional to 38,194.33, 52,714.51 and 22,278.78

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Solution

The fourth proportional to 38,194.33, 52,714.51 and 22,278.78 is: 30,748.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,194.33 : 52,714.51 = 22,278.78 : x
  2. Step 2: Convert to fraction form
    38,194.33/52,714.51 = 22,278.78/x
  3. Step 3: Cross multiply
    38,194.33x = 52,714.51 × 22,278.78
  4. Step 4: Simplify right side
    38,194.33x = 1,174,414,971.10
  5. Step 5: Solve for x
    x = 1,174,414,971.10/38,194.33
  6. Step 6: Final answer
    x = 30,748.41

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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.