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Finding the Fourth Proportional to 37,732.96, 52,077.90 and 21,827.08

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Solution

The fourth proportional to 37,732.96, 52,077.90 and 21,827.08 is: 30,125.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,732.96 : 52,077.90 = 21,827.08 : x
  2. Step 2: Convert to fraction form
    37,732.96/52,077.90 = 21,827.08/x
  3. Step 3: Cross multiply
    37,732.96x = 52,077.90 × 21,827.08
  4. Step 4: Simplify right side
    37,732.96x = 1,136,708,489.53
  5. Step 5: Solve for x
    x = 1,136,708,489.53/37,732.96
  6. Step 6: Final answer
    x = 30,125.08

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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.