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Finding the Fourth Proportional to 32,732.74, 49,099.32 and 13,997

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Solution

The fourth proportional to 32,732.74, 49,099.32 and 13,997 is: 20,995.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,732.74 : 49,099.32 = 13,997 : x
  2. Step 2: Convert to fraction form
    32,732.74/49,099.32 = 13,997/x
  3. Step 3: Cross multiply
    32,732.74x = 49,099.32 × 13,997
  4. Step 4: Simplify right side
    32,732.74x = 687,243,182.04
  5. Step 5: Solve for x
    x = 687,243,182.04/32,732.74
  6. Step 6: Final answer
    x = 20,995.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.