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Finding the Fourth Proportional to 37,978.48, 56,975.74 and 14,286.26

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Solution

The fourth proportional to 37,978.48, 56,975.74 and 14,286.26 is: 21,432.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,978.48 : 56,975.74 = 14,286.26 : x
  2. Step 2: Convert to fraction form
    37,978.48/56,975.74 = 14,286.26/x
  3. Step 3: Cross multiply
    37,978.48x = 56,975.74 × 14,286.26
  4. Step 4: Simplify right side
    37,978.48x = 813,970,235.33
  5. Step 5: Solve for x
    x = 813,970,235.33/37,978.48
  6. Step 6: Final answer
    x = 21,432.41

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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.