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Finding the Fourth Proportional to 30,428.16, 45,665.28 and 22,241.28

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Solution

The fourth proportional to 30,428.16, 45,665.28 and 22,241.28 is: 33,378.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,428.16 : 45,665.28 = 22,241.28 : x
  2. Step 2: Convert to fraction form
    30,428.16/45,665.28 = 22,241.28/x
  3. Step 3: Cross multiply
    30,428.16x = 45,665.28 × 22,241.28
  4. Step 4: Simplify right side
    30,428.16x = 1,015,654,278.76
  5. Step 5: Solve for x
    x = 1,015,654,278.76/30,428.16
  6. Step 6: Final answer
    x = 33,378.76

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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.