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Finding the Fourth Proportional to 37,978.26, 56,967.60 and 24,913.38

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Solution

The fourth proportional to 37,978.26, 56,967.60 and 24,913.38 is: 37,370.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,978.26 : 56,967.60 = 24,913.38 : x
  2. Step 2: Convert to fraction form
    37,978.26/56,967.60 = 24,913.38/x
  3. Step 3: Cross multiply
    37,978.26x = 56,967.60 × 24,913.38
  4. Step 4: Simplify right side
    37,978.26x = 1,419,255,466.49
  5. Step 5: Solve for x
    x = 1,419,255,466.49/37,978.26
  6. Step 6: Final answer
    x = 37,370.21

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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.