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Finding the Fourth Proportional to 57,982.95, 80,015.31 and 32,489.01

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Solution

The fourth proportional to 57,982.95, 80,015.31 and 32,489.01 is: 44,834.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,982.95 : 80,015.31 = 32,489.01 : x
  2. Step 2: Convert to fraction form
    57,982.95/80,015.31 = 32,489.01/x
  3. Step 3: Cross multiply
    57,982.95x = 80,015.31 × 32,489.01
  4. Step 4: Simplify right side
    57,982.95x = 2,599,618,206.74
  5. Step 5: Solve for x
    x = 2,599,618,206.74/57,982.95
  6. Step 6: Final answer
    x = 44,834.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.