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Finding the Fourth Proportional to 20,459.43, 30,506.31 and 20,419.47

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Solution

The fourth proportional to 20,459.43, 30,506.31 and 20,419.47 is: 30,446.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,459.43 : 30,506.31 = 20,419.47 : x
  2. Step 2: Convert to fraction form
    20,459.43/30,506.31 = 20,419.47/x
  3. Step 3: Cross multiply
    20,459.43x = 30,506.31 × 20,419.47
  4. Step 4: Simplify right side
    20,459.43x = 622,922,681.86
  5. Step 5: Solve for x
    x = 622,922,681.86/20,459.43
  6. Step 6: Final answer
    x = 30,446.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.