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Finding the Fourth Proportional to 32,651.01, 48,976.52 and 9,274.41

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Solution

The fourth proportional to 32,651.01, 48,976.52 and 9,274.41 is: 13,911.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,651.01 : 48,976.52 = 9,274.41 : x
  2. Step 2: Convert to fraction form
    32,651.01/48,976.52 = 9,274.41/x
  3. Step 3: Cross multiply
    32,651.01x = 48,976.52 × 9,274.41
  4. Step 4: Simplify right side
    32,651.01x = 454,228,280.48
  5. Step 5: Solve for x
    x = 454,228,280.48/32,651.01
  6. Step 6: Final answer
    x = 13,911.62

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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.