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Finding the Fourth Proportional to 82,906.65, 124,378.20 and 26,737.20

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Solution

The fourth proportional to 82,906.65, 124,378.20 and 26,737.20 is: 40,111.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,906.65 : 124,378.20 = 26,737.20 : x
  2. Step 2: Convert to fraction form
    82,906.65/124,378.20 = 26,737.20/x
  3. Step 3: Cross multiply
    82,906.65x = 124,378.20 × 26,737.20
  4. Step 4: Simplify right side
    82,906.65x = 3,325,524,809.04
  5. Step 5: Solve for x
    x = 3,325,524,809.04/82,906.65
  6. Step 6: Final answer
    x = 40,111.68

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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.