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Finding the Fourth Proportional to 38,411.80, 57,608.10 and 14,714.20

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Solution

The fourth proportional to 38,411.80, 57,608.10 and 14,714.20 is: 22,067.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,411.80 : 57,608.10 = 14,714.20 : x
  2. Step 2: Convert to fraction form
    38,411.80/57,608.10 = 14,714.20/x
  3. Step 3: Cross multiply
    38,411.80x = 57,608.10 × 14,714.20
  4. Step 4: Simplify right side
    38,411.80x = 847,657,105.02
  5. Step 5: Solve for x
    x = 847,657,105.02/38,411.80
  6. Step 6: Final answer
    x = 22,067.62

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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.