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Finding the Fourth Proportional to 37,748.72, 52,094.22 and 21,834.20

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Solution

The fourth proportional to 37,748.72, 52,094.22 and 21,834.20 is: 30,131.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,748.72 : 52,094.22 = 21,834.20 : x
  2. Step 2: Convert to fraction form
    37,748.72/52,094.22 = 21,834.20/x
  3. Step 3: Cross multiply
    37,748.72x = 52,094.22 × 21,834.20
  4. Step 4: Simplify right side
    37,748.72x = 1,137,435,618.32
  5. Step 5: Solve for x
    x = 1,137,435,618.32/37,748.72
  6. Step 6: Final answer
    x = 30,131.77

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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.