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Finding the Fourth Proportional to 38,569.54, 57,714.01 and 31,843.49

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Solution

The fourth proportional to 38,569.54, 57,714.01 and 31,843.49 is: 47,649.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,569.54 : 57,714.01 = 31,843.49 : x
  2. Step 2: Convert to fraction form
    38,569.54/57,714.01 = 31,843.49/x
  3. Step 3: Cross multiply
    38,569.54x = 57,714.01 × 31,843.49
  4. Step 4: Simplify right side
    38,569.54x = 1,837,815,500.29
  5. Step 5: Solve for x
    x = 1,837,815,500.29/38,569.54
  6. Step 6: Final answer
    x = 47,649.40

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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.