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Finding the Fourth Proportional to 49,279, 68,005.02 and 26,923

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Solution

The fourth proportional to 49,279, 68,005.02 and 26,923 is: 37,153.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,279 : 68,005.02 = 26,923 : x
  2. Step 2: Convert to fraction form
    49,279/68,005.02 = 26,923/x
  3. Step 3: Cross multiply
    49,279x = 68,005.02 × 26,923
  4. Step 4: Simplify right side
    49,279x = 1,830,899,153.46
  5. Step 5: Solve for x
    x = 1,830,899,153.46/49,279
  6. Step 6: Final answer
    x = 37,153.74

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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.