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Finding the Fourth Proportional to 33,646.80, 50,414.64 and 20,459.28

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Solution

The fourth proportional to 33,646.80, 50,414.64 and 20,459.28 is: 30,655.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,646.80 : 50,414.64 = 20,459.28 : x
  2. Step 2: Convert to fraction form
    33,646.80/50,414.64 = 20,459.28/x
  3. Step 3: Cross multiply
    33,646.80x = 50,414.64 × 20,459.28
  4. Step 4: Simplify right side
    33,646.80x = 1,031,447,235.86
  5. Step 5: Solve for x
    x = 1,031,447,235.86/33,646.80
  6. Step 6: Final answer
    x = 30,655.14

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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.