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Finding the Fourth Proportional to 24,049.50, 36,054.80 and 10,020.09

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Solution

The fourth proportional to 24,049.50, 36,054.80 and 10,020.09 is: 15,022.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,049.50 : 36,054.80 = 10,020.09 : x
  2. Step 2: Convert to fraction form
    24,049.50/36,054.80 = 10,020.09/x
  3. Step 3: Cross multiply
    24,049.50x = 36,054.80 × 10,020.09
  4. Step 4: Simplify right side
    24,049.50x = 361,272,317.17
  5. Step 5: Solve for x
    x = 361,272,317.17/24,049.50
  6. Step 6: Final answer
    x = 15,022.03

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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.