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Finding the Fourth Proportional to 38,173.96, 52,680 and 21,180.78

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Solution

The fourth proportional to 38,173.96, 52,680 and 21,180.78 is: 29,229.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,173.96 : 52,680 = 21,180.78 : x
  2. Step 2: Convert to fraction form
    38,173.96/52,680 = 21,180.78/x
  3. Step 3: Cross multiply
    38,173.96x = 52,680 × 21,180.78
  4. Step 4: Simplify right side
    38,173.96x = 1,115,803,490.40
  5. Step 5: Solve for x
    x = 1,115,803,490.40/38,173.96
  6. Step 6: Final answer
    x = 29,229.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.