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Finding the Fourth Proportional to 24,522.50, 36,783.84 and 6,054.50

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Solution

The fourth proportional to 24,522.50, 36,783.84 and 6,054.50 is: 9,081.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,522.50 : 36,783.84 = 6,054.50 : x
  2. Step 2: Convert to fraction form
    24,522.50/36,783.84 = 6,054.50/x
  3. Step 3: Cross multiply
    24,522.50x = 36,783.84 × 6,054.50
  4. Step 4: Simplify right side
    24,522.50x = 222,707,759.28
  5. Step 5: Solve for x
    x = 222,707,759.28/24,522.50
  6. Step 6: Final answer
    x = 9,081.77

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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.