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Finding the Fourth Proportional to 35,998.32, 49,675.32 and 22,569

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Solution

The fourth proportional to 35,998.32, 49,675.32 and 22,569 is: 31,143.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,998.32 : 49,675.32 = 22,569 : x
  2. Step 2: Convert to fraction form
    35,998.32/49,675.32 = 22,569/x
  3. Step 3: Cross multiply
    35,998.32x = 49,675.32 × 22,569
  4. Step 4: Simplify right side
    35,998.32x = 1,121,122,297.08
  5. Step 5: Solve for x
    x = 1,121,122,297.08/35,998.32
  6. Step 6: Final answer
    x = 31,143.74

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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.