Home / 27,829-41,737.18-8,103.24

Finding the Fourth Proportional to 27,829, 41,737.18 and 8,103.24

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Solution

The fourth proportional to 27,829, 41,737.18 and 8,103.24 is: 12,153.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,829 : 41,737.18 = 8,103.24 : x
  2. Step 2: Convert to fraction form
    27,829/41,737.18 = 8,103.24/x
  3. Step 3: Cross multiply
    27,829x = 41,737.18 × 8,103.24
  4. Step 4: Simplify right side
    27,829x = 338,206,386.46
  5. Step 5: Solve for x
    x = 338,206,386.46/27,829
  6. Step 6: Final answer
    x = 12,153.02

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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.