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Finding the Fourth Proportional to 49,330, 68,077.02 and 26,974

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Solution

The fourth proportional to 49,330, 68,077.02 and 26,974 is: 37,225.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,330 : 68,077.02 = 26,974 : x
  2. Step 2: Convert to fraction form
    49,330/68,077.02 = 26,974/x
  3. Step 3: Cross multiply
    49,330x = 68,077.02 × 26,974
  4. Step 4: Simplify right side
    49,330x = 1,836,309,537.48
  5. Step 5: Solve for x
    x = 1,836,309,537.48/49,330
  6. Step 6: Final answer
    x = 37,225.01

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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.