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Finding the Fourth Proportional to 32,689.36, 49,029.18 and 11,908

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Solution

The fourth proportional to 32,689.36, 49,029.18 and 11,908 is: 17,860.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,689.36 : 49,029.18 = 11,908 : x
  2. Step 2: Convert to fraction form
    32,689.36/49,029.18 = 11,908/x
  3. Step 3: Cross multiply
    32,689.36x = 49,029.18 × 11,908
  4. Step 4: Simplify right side
    32,689.36x = 583,839,475.44
  5. Step 5: Solve for x
    x = 583,839,475.44/32,689.36
  6. Step 6: Final answer
    x = 17,860.23

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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.