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Finding the Fourth Proportional to 37,784, 52,141.92 and 21,020.96

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Solution

The fourth proportional to 37,784, 52,141.92 and 21,020.96 is: 29,008.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,784 : 52,141.92 = 21,020.96 : x
  2. Step 2: Convert to fraction form
    37,784/52,141.92 = 21,020.96/x
  3. Step 3: Cross multiply
    37,784x = 52,141.92 × 21,020.96
  4. Step 4: Simplify right side
    37,784x = 1,096,073,214.64
  5. Step 5: Solve for x
    x = 1,096,073,214.64/37,784
  6. Step 6: Final answer
    x = 29,008.92

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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.