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Finding the Fourth Proportional to 37,660.16, 52,006.16 and 24,254.78

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Solution

The fourth proportional to 37,660.16, 52,006.16 and 24,254.78 is: 33,494.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,660.16 : 52,006.16 = 24,254.78 : x
  2. Step 2: Convert to fraction form
    37,660.16/52,006.16 = 24,254.78/x
  3. Step 3: Cross multiply
    37,660.16x = 52,006.16 × 24,254.78
  4. Step 4: Simplify right side
    37,660.16x = 1,261,397,770.05
  5. Step 5: Solve for x
    x = 1,261,397,770.05/37,660.16
  6. Step 6: Final answer
    x = 33,494.22

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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.