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Finding the Fourth Proportional to 37,758, 52,029.20 and 29,208.18

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Solution

The fourth proportional to 37,758, 52,029.20 and 29,208.18 is: 40,247.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,758 : 52,029.20 = 29,208.18 : x
  2. Step 2: Convert to fraction form
    37,758/52,029.20 = 29,208.18/x
  3. Step 3: Cross multiply
    37,758x = 52,029.20 × 29,208.18
  4. Step 4: Simplify right side
    37,758x = 1,519,678,238.86
  5. Step 5: Solve for x
    x = 1,519,678,238.86/37,758
  6. Step 6: Final answer
    x = 40,247.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.