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Finding the Fourth Proportional to 82,528.96, 123,626.92 and 38,094

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Solution

The fourth proportional to 82,528.96, 123,626.92 and 38,094 is: 57,064.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,528.96 : 123,626.92 = 38,094 : x
  2. Step 2: Convert to fraction form
    82,528.96/123,626.92 = 38,094/x
  3. Step 3: Cross multiply
    82,528.96x = 123,626.92 × 38,094
  4. Step 4: Simplify right side
    82,528.96x = 4,709,443,890.48
  5. Step 5: Solve for x
    x = 4,709,443,890.48/82,528.96
  6. Step 6: Final answer
    x = 57,064.14

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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.