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Finding the Fourth Proportional to 36,970, 51,000.76 and 24,217.62

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Solution

The fourth proportional to 36,970, 51,000.76 and 24,217.62 is: 33,408.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,970 : 51,000.76 = 24,217.62 : x
  2. Step 2: Convert to fraction form
    36,970/51,000.76 = 24,217.62/x
  3. Step 3: Cross multiply
    36,970x = 51,000.76 × 24,217.62
  4. Step 4: Simplify right side
    36,970x = 1,235,117,025.39
  5. Step 5: Solve for x
    x = 1,235,117,025.39/36,970
  6. Step 6: Final answer
    x = 33,408.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.