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Finding the Fourth Proportional to 37,770.74, 52,114.29 and 23,616.50

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Solution

The fourth proportional to 37,770.74, 52,114.29 and 23,616.50 is: 32,584.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,770.74 : 52,114.29 = 23,616.50 : x
  2. Step 2: Convert to fraction form
    37,770.74/52,114.29 = 23,616.50/x
  3. Step 3: Cross multiply
    37,770.74x = 52,114.29 × 23,616.50
  4. Step 4: Simplify right side
    37,770.74x = 1,230,757,129.79
  5. Step 5: Solve for x
    x = 1,230,757,129.79/37,770.74
  6. Step 6: Final answer
    x = 32,584.94

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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.