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Finding the Fourth Proportional to 24,899.78, 37,356.94 and 8,032.42

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Solution

The fourth proportional to 24,899.78, 37,356.94 and 8,032.42 is: 12,050.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,899.78 : 37,356.94 = 8,032.42 : x
  2. Step 2: Convert to fraction form
    24,899.78/37,356.94 = 8,032.42/x
  3. Step 3: Cross multiply
    24,899.78x = 37,356.94 × 8,032.42
  4. Step 4: Simplify right side
    24,899.78x = 300,066,456.01
  5. Step 5: Solve for x
    x = 300,066,456.01/24,899.78
  6. Step 6: Final answer
    x = 12,050.97

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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.