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Finding the Fourth Proportional to 37,838.08, 52,211.10 and 21,919.60

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Solution

The fourth proportional to 37,838.08, 52,211.10 and 21,919.60 is: 30,245.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,838.08 : 52,211.10 = 21,919.60 : x
  2. Step 2: Convert to fraction form
    37,838.08/52,211.10 = 21,919.60/x
  3. Step 3: Cross multiply
    37,838.08x = 52,211.10 × 21,919.60
  4. Step 4: Simplify right side
    37,838.08x = 1,144,446,427.56
  5. Step 5: Solve for x
    x = 1,144,446,427.56/37,838.08
  6. Step 6: Final answer
    x = 30,245.89

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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.