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Finding the Fourth Proportional to 74,192.72, 111,293.52 and 24,278

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Solution

The fourth proportional to 74,192.72, 111,293.52 and 24,278 is: 36,418.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,192.72 : 111,293.52 = 24,278 : x
  2. Step 2: Convert to fraction form
    74,192.72/111,293.52 = 24,278/x
  3. Step 3: Cross multiply
    74,192.72x = 111,293.52 × 24,278
  4. Step 4: Simplify right side
    74,192.72x = 2,701,984,078.56
  5. Step 5: Solve for x
    x = 2,701,984,078.56/74,192.72
  6. Step 6: Final answer
    x = 36,418.45

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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.