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Finding the Fourth Proportional to 35,872, 49,489.99 and 22,438.15

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Solution

The fourth proportional to 35,872, 49,489.99 and 22,438.15 is: 30,956.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,872 : 49,489.99 = 22,438.15 : x
  2. Step 2: Convert to fraction form
    35,872/49,489.99 = 22,438.15/x
  3. Step 3: Cross multiply
    35,872x = 49,489.99 × 22,438.15
  4. Step 4: Simplify right side
    35,872x = 1,110,463,819.12
  5. Step 5: Solve for x
    x = 1,110,463,819.12/35,872
  6. Step 6: Final answer
    x = 30,956.28

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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.