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Finding the Fourth Proportional to 43,864.32, 65,806.20 and 20,478

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Solution

The fourth proportional to 43,864.32, 65,806.20 and 20,478 is: 30,721.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,864.32 : 65,806.20 = 20,478 : x
  2. Step 2: Convert to fraction form
    43,864.32/65,806.20 = 20,478/x
  3. Step 3: Cross multiply
    43,864.32x = 65,806.20 × 20,478
  4. Step 4: Simplify right side
    43,864.32x = 1,347,579,363.60
  5. Step 5: Solve for x
    x = 1,347,579,363.60/43,864.32
  6. Step 6: Final answer
    x = 30,721.54

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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.