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Finding the Fourth Proportional to 37,274.32, 55,937.40 and 24,094

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Solution

The fourth proportional to 37,274.32, 55,937.40 and 24,094 is: 36,157.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,274.32 : 55,937.40 = 24,094 : x
  2. Step 2: Convert to fraction form
    37,274.32/55,937.40 = 24,094/x
  3. Step 3: Cross multiply
    37,274.32x = 55,937.40 × 24,094
  4. Step 4: Simplify right side
    37,274.32x = 1,347,755,715.60
  5. Step 5: Solve for x
    x = 1,347,755,715.60/37,274.32
  6. Step 6: Final answer
    x = 36,157.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.