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Finding the Fourth Proportional to 24,523.50, 36,785.34 and 6,055.50

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Solution

The fourth proportional to 24,523.50, 36,785.34 and 6,055.50 is: 9,083.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,523.50 : 36,785.34 = 6,055.50 : x
  2. Step 2: Convert to fraction form
    24,523.50/36,785.34 = 6,055.50/x
  3. Step 3: Cross multiply
    24,523.50x = 36,785.34 × 6,055.50
  4. Step 4: Simplify right side
    24,523.50x = 222,753,626.37
  5. Step 5: Solve for x
    x = 222,753,626.37/24,523.50
  6. Step 6: Final answer
    x = 9,083.27

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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.