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Finding the Fourth Proportional to 24,078, 36,102.60 and 10,021.08

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Solution

The fourth proportional to 24,078, 36,102.60 and 10,021.08 is: 15,025.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,078 : 36,102.60 = 10,021.08 : x
  2. Step 2: Convert to fraction form
    24,078/36,102.60 = 10,021.08/x
  3. Step 3: Cross multiply
    24,078x = 36,102.60 × 10,021.08
  4. Step 4: Simplify right side
    24,078x = 361,787,042.81
  5. Step 5: Solve for x
    x = 361,787,042.81/24,078
  6. Step 6: Final answer
    x = 15,025.63

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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.