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Finding the Fourth Proportional to 38,145.47, 57,234 and 20,594.66

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Solution

The fourth proportional to 38,145.47, 57,234 and 20,594.66 is: 30,900.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,145.47 : 57,234 = 20,594.66 : x
  2. Step 2: Convert to fraction form
    38,145.47/57,234 = 20,594.66/x
  3. Step 3: Cross multiply
    38,145.47x = 57,234 × 20,594.66
  4. Step 4: Simplify right side
    38,145.47x = 1,178,714,770.44
  5. Step 5: Solve for x
    x = 1,178,714,770.44/38,145.47
  6. Step 6: Final answer
    x = 30,900.52

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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.