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Finding the Fourth Proportional to 82,806.99, 124,231.19 and 32,870.58

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Solution

The fourth proportional to 82,806.99, 124,231.19 and 32,870.58 is: 49,314.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,806.99 : 124,231.19 = 32,870.58 : x
  2. Step 2: Convert to fraction form
    82,806.99/124,231.19 = 32,870.58/x
  3. Step 3: Cross multiply
    82,806.99x = 124,231.19 × 32,870.58
  4. Step 4: Simplify right side
    82,806.99x = 4,083,551,105.04
  5. Step 5: Solve for x
    x = 4,083,551,105.04/82,806.99
  6. Step 6: Final answer
    x = 49,314.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.