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Finding the Fourth Proportional to 37,238.20, 51,388.02 and 20,470.84

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Solution

The fourth proportional to 37,238.20, 51,388.02 and 20,470.84 is: 28,249.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,238.20 : 51,388.02 = 20,470.84 : x
  2. Step 2: Convert to fraction form
    37,238.20/51,388.02 = 20,470.84/x
  3. Step 3: Cross multiply
    37,238.20x = 51,388.02 × 20,470.84
  4. Step 4: Simplify right side
    37,238.20x = 1,051,955,935.34
  5. Step 5: Solve for x
    x = 1,051,955,935.34/37,238.20
  6. Step 6: Final answer
    x = 28,249.38

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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.