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Finding the Fourth Proportional to 59,418.42, 89,123.24 and 21,961

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Solution

The fourth proportional to 59,418.42, 89,123.24 and 21,961 is: 32,939.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,418.42 : 89,123.24 = 21,961 : x
  2. Step 2: Convert to fraction form
    59,418.42/89,123.24 = 21,961/x
  3. Step 3: Cross multiply
    59,418.42x = 89,123.24 × 21,961
  4. Step 4: Simplify right side
    59,418.42x = 1,957,235,473.64
  5. Step 5: Solve for x
    x = 1,957,235,473.64/59,418.42
  6. Step 6: Final answer
    x = 32,939.88

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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.