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Finding the Fourth Proportional to 37,842.52, 56,772.03 and 11,546.56

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Solution

The fourth proportional to 37,842.52, 56,772.03 and 11,546.56 is: 17,322.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,842.52 : 56,772.03 = 11,546.56 : x
  2. Step 2: Convert to fraction form
    37,842.52/56,772.03 = 11,546.56/x
  3. Step 3: Cross multiply
    37,842.52x = 56,772.03 × 11,546.56
  4. Step 4: Simplify right side
    37,842.52x = 655,521,650.72
  5. Step 5: Solve for x
    x = 655,521,650.72/37,842.52
  6. Step 6: Final answer
    x = 17,322.36

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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.