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Finding the Fourth Proportional to 32,648.25, 48,976.73 and 16,008.83

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Solution

The fourth proportional to 32,648.25, 48,976.73 and 16,008.83 is: 24,015.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,648.25 : 48,976.73 = 16,008.83 : x
  2. Step 2: Convert to fraction form
    32,648.25/48,976.73 = 16,008.83/x
  3. Step 3: Cross multiply
    32,648.25x = 48,976.73 × 16,008.83
  4. Step 4: Simplify right side
    32,648.25x = 784,060,144.53
  5. Step 5: Solve for x
    x = 784,060,144.53/32,648.25
  6. Step 6: Final answer
    x = 24,015.38

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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.