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Finding the Fourth Proportional to 37,965, 52,394.94 and 21,201.24

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Solution

The fourth proportional to 37,965, 52,394.94 and 21,201.24 is: 29,259.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,965 : 52,394.94 = 21,201.24 : x
  2. Step 2: Convert to fraction form
    37,965/52,394.94 = 21,201.24/x
  3. Step 3: Cross multiply
    37,965x = 52,394.94 × 21,201.24
  4. Step 4: Simplify right side
    37,965x = 1,110,837,697.73
  5. Step 5: Solve for x
    x = 1,110,837,697.73/37,965
  6. Step 6: Final answer
    x = 29,259.52

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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.