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Finding the Fourth Proportional to 82,302.96, 123,454.08 and 19,974

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Solution

The fourth proportional to 82,302.96, 123,454.08 and 19,974 is: 29,960.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,302.96 : 123,454.08 = 19,974 : x
  2. Step 2: Convert to fraction form
    82,302.96/123,454.08 = 19,974/x
  3. Step 3: Cross multiply
    82,302.96x = 123,454.08 × 19,974
  4. Step 4: Simplify right side
    82,302.96x = 2,465,871,793.92
  5. Step 5: Solve for x
    x = 2,465,871,793.92/82,302.96
  6. Step 6: Final answer
    x = 29,960.91

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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.