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Finding the Fourth Proportional to 32,229.02, 48,357.39 and 17,448.50

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Solution

The fourth proportional to 32,229.02, 48,357.39 and 17,448.50 is: 26,180.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,229.02 : 48,357.39 = 17,448.50 : x
  2. Step 2: Convert to fraction form
    32,229.02/48,357.39 = 17,448.50/x
  3. Step 3: Cross multiply
    32,229.02x = 48,357.39 × 17,448.50
  4. Step 4: Simplify right side
    32,229.02x = 843,763,919.42
  5. Step 5: Solve for x
    x = 843,763,919.42/32,229.02
  6. Step 6: Final answer
    x = 26,180.25

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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.