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Finding the Fourth Proportional to 30,711.96, 42,406.92 and 20,649.24

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Solution

The fourth proportional to 30,711.96, 42,406.92 and 20,649.24 is: 28,512.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,711.96 : 42,406.92 = 20,649.24 : x
  2. Step 2: Convert to fraction form
    30,711.96/42,406.92 = 20,649.24/x
  3. Step 3: Cross multiply
    30,711.96x = 42,406.92 × 20,649.24
  4. Step 4: Simplify right side
    30,711.96x = 875,670,668.74
  5. Step 5: Solve for x
    x = 875,670,668.74/30,711.96
  6. Step 6: Final answer
    x = 28,512.37

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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.