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Finding the Fourth Proportional to 37,879.42, 52,271.36 and 21,743

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Solution

The fourth proportional to 37,879.42, 52,271.36 and 21,743 is: 30,004.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,879.42 : 52,271.36 = 21,743 : x
  2. Step 2: Convert to fraction form
    37,879.42/52,271.36 = 21,743/x
  3. Step 3: Cross multiply
    37,879.42x = 52,271.36 × 21,743
  4. Step 4: Simplify right side
    37,879.42x = 1,136,536,180.48
  5. Step 5: Solve for x
    x = 1,136,536,180.48/37,879.42
  6. Step 6: Final answer
    x = 30,004.05

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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.