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Finding the Fourth Proportional to 35,414.75, 48,872.64 and 19,282.16

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Solution

The fourth proportional to 35,414.75, 48,872.64 and 19,282.16 is: 26,609.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,414.75 : 48,872.64 = 19,282.16 : x
  2. Step 2: Convert to fraction form
    35,414.75/48,872.64 = 19,282.16/x
  3. Step 3: Cross multiply
    35,414.75x = 48,872.64 × 19,282.16
  4. Step 4: Simplify right side
    35,414.75x = 942,370,186.28
  5. Step 5: Solve for x
    x = 942,370,186.28/35,414.75
  6. Step 6: Final answer
    x = 26,609.54

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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.