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Finding the Fourth Proportional to 24,049.50, 36,087.24 and 11,737.50

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Solution

The fourth proportional to 24,049.50, 36,087.24 and 11,737.50 is: 17,612.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,049.50 : 36,087.24 = 11,737.50 : x
  2. Step 2: Convert to fraction form
    24,049.50/36,087.24 = 11,737.50/x
  3. Step 3: Cross multiply
    24,049.50x = 36,087.24 × 11,737.50
  4. Step 4: Simplify right side
    24,049.50x = 423,573,979.50
  5. Step 5: Solve for x
    x = 423,573,979.50/24,049.50
  6. Step 6: Final answer
    x = 17,612.59

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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.