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Finding the Fourth Proportional to 30,714.86, 42,385.75 and 20,104.27

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Solution

The fourth proportional to 30,714.86, 42,385.75 and 20,104.27 is: 27,743.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,714.86 : 42,385.75 = 20,104.27 : x
  2. Step 2: Convert to fraction form
    30,714.86/42,385.75 = 20,104.27/x
  3. Step 3: Cross multiply
    30,714.86x = 42,385.75 × 20,104.27
  4. Step 4: Simplify right side
    30,714.86x = 852,134,405.93
  5. Step 5: Solve for x
    x = 852,134,405.93/30,714.86
  6. Step 6: Final answer
    x = 27,743.39

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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.