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Finding the Fourth Proportional to 37,924, 56,906.48 and 18,468

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Solution

The fourth proportional to 37,924, 56,906.48 and 18,468 is: 27,711.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,924 : 56,906.48 = 18,468 : x
  2. Step 2: Convert to fraction form
    37,924/56,906.48 = 18,468/x
  3. Step 3: Cross multiply
    37,924x = 56,906.48 × 18,468
  4. Step 4: Simplify right side
    37,924x = 1,050,948,872.64
  5. Step 5: Solve for x
    x = 1,050,948,872.64/37,924
  6. Step 6: Final answer
    x = 27,711.97

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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.