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Finding the Fourth Proportional to 38,221, 57,346.08 and 14,849.26

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Solution

The fourth proportional to 38,221, 57,346.08 and 14,849.26 is: 22,279.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,221 : 57,346.08 = 14,849.26 : x
  2. Step 2: Convert to fraction form
    38,221/57,346.08 = 14,849.26/x
  3. Step 3: Cross multiply
    38,221x = 57,346.08 × 14,849.26
  4. Step 4: Simplify right side
    38,221x = 851,546,851.90
  5. Step 5: Solve for x
    x = 851,546,851.90/38,221
  6. Step 6: Final answer
    x = 22,279.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.