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Finding the Fourth Proportional to 115,510, 173,334.12 and 49,846

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Solution

The fourth proportional to 115,510, 173,334.12 and 49,846 is: 74,798.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,510 : 173,334.12 = 49,846 : x
  2. Step 2: Convert to fraction form
    115,510/173,334.12 = 49,846/x
  3. Step 3: Cross multiply
    115,510x = 173,334.12 × 49,846
  4. Step 4: Simplify right side
    115,510x = 8,640,012,545.52
  5. Step 5: Solve for x
    x = 8,640,012,545.52/115,510
  6. Step 6: Final answer
    x = 74,798.83

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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.