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Finding the Fourth Proportional to 37,149.52, 55,738.50 and 22,369

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Solution

The fourth proportional to 37,149.52, 55,738.50 and 22,369 is: 33,562.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,149.52 : 55,738.50 = 22,369 : x
  2. Step 2: Convert to fraction form
    37,149.52/55,738.50 = 22,369/x
  3. Step 3: Cross multiply
    37,149.52x = 55,738.50 × 22,369
  4. Step 4: Simplify right side
    37,149.52x = 1,246,814,506.50
  5. Step 5: Solve for x
    x = 1,246,814,506.50/37,149.52
  6. Step 6: Final answer
    x = 33,562.06

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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.