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Finding the Fourth Proportional to 42,420.80, 63,534.29 and 20,249.78

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Solution

The fourth proportional to 42,420.80, 63,534.29 and 20,249.78 is: 30,328.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,420.80 : 63,534.29 = 20,249.78 : x
  2. Step 2: Convert to fraction form
    42,420.80/63,534.29 = 20,249.78/x
  3. Step 3: Cross multiply
    42,420.80x = 63,534.29 × 20,249.78
  4. Step 4: Simplify right side
    42,420.80x = 1,286,555,394.96
  5. Step 5: Solve for x
    x = 1,286,555,394.96/42,420.80
  6. Step 6: Final answer
    x = 30,328.41

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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.