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Finding the Fourth Proportional to 59,727.58, 82,424.07 and 32,872

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Solution

The fourth proportional to 59,727.58, 82,424.07 and 32,872 is: 45,363.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,727.58 : 82,424.07 = 32,872 : x
  2. Step 2: Convert to fraction form
    59,727.58/82,424.07 = 32,872/x
  3. Step 3: Cross multiply
    59,727.58x = 82,424.07 × 32,872
  4. Step 4: Simplify right side
    59,727.58x = 2,709,444,029.04
  5. Step 5: Solve for x
    x = 2,709,444,029.04/59,727.58
  6. Step 6: Final answer
    x = 45,363.37

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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.