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Finding the Fourth Proportional to 35,513.28, 49,006.42 and 22,084.16

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Solution

The fourth proportional to 35,513.28, 49,006.42 and 22,084.16 is: 30,474.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,513.28 : 49,006.42 = 22,084.16 : x
  2. Step 2: Convert to fraction form
    35,513.28/49,006.42 = 22,084.16/x
  3. Step 3: Cross multiply
    35,513.28x = 49,006.42 × 22,084.16
  4. Step 4: Simplify right side
    35,513.28x = 1,082,265,320.06
  5. Step 5: Solve for x
    x = 1,082,265,320.06/35,513.28
  6. Step 6: Final answer
    x = 30,474.95

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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.