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Finding the Fourth Proportional to 30,714.96, 42,399.72 and 20,649.24

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Solution

The fourth proportional to 30,714.96, 42,399.72 and 20,649.24 is: 28,504.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,714.96 : 42,399.72 = 20,649.24 : x
  2. Step 2: Convert to fraction form
    30,714.96/42,399.72 = 20,649.24/x
  3. Step 3: Cross multiply
    30,714.96x = 42,399.72 × 20,649.24
  4. Step 4: Simplify right side
    30,714.96x = 875,521,757.78
  5. Step 5: Solve for x
    x = 875,521,757.78/30,714.96
  6. Step 6: Final answer
    x = 28,504.74

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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.