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Finding the Fourth Proportional to 32,640.98, 48,964.50 and 11,578.95

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Solution

The fourth proportional to 32,640.98, 48,964.50 and 11,578.95 is: 17,369.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,640.98 : 48,964.50 = 11,578.95 : x
  2. Step 2: Convert to fraction form
    32,640.98/48,964.50 = 11,578.95/x
  3. Step 3: Cross multiply
    32,640.98x = 48,964.50 × 11,578.95
  4. Step 4: Simplify right side
    32,640.98x = 566,957,497.28
  5. Step 5: Solve for x
    x = 566,957,497.28/32,640.98
  6. Step 6: Final answer
    x = 17,369.50

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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.