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Finding the Fourth Proportional to 37,894.68, 56,858.40 and 20,344

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Solution

The fourth proportional to 37,894.68, 56,858.40 and 20,344 is: 30,524.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,894.68 : 56,858.40 = 20,344 : x
  2. Step 2: Convert to fraction form
    37,894.68/56,858.40 = 20,344/x
  3. Step 3: Cross multiply
    37,894.68x = 56,858.40 × 20,344
  4. Step 4: Simplify right side
    37,894.68x = 1,156,727,289.60
  5. Step 5: Solve for x
    x = 1,156,727,289.60/37,894.68
  6. Step 6: Final answer
    x = 30,524.79

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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.