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Finding the Fourth Proportional to 37,873.98, 52,266.16 and 21,741.82

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Solution

The fourth proportional to 37,873.98, 52,266.16 and 21,741.82 is: 30,003.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,873.98 : 52,266.16 = 21,741.82 : x
  2. Step 2: Convert to fraction form
    37,873.98/52,266.16 = 21,741.82/x
  3. Step 3: Cross multiply
    37,873.98x = 52,266.16 × 21,741.82
  4. Step 4: Simplify right side
    37,873.98x = 1,136,361,339.32
  5. Step 5: Solve for x
    x = 1,136,361,339.32/37,873.98
  6. Step 6: Final answer
    x = 30,003.75

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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.