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Finding the Fourth Proportional to 49,176, 67,864.32 and 26,821.44

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Solution

The fourth proportional to 49,176, 67,864.32 and 26,821.44 is: 37,014.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,176 : 67,864.32 = 26,821.44 : x
  2. Step 2: Convert to fraction form
    49,176/67,864.32 = 26,821.44/x
  3. Step 3: Cross multiply
    49,176x = 67,864.32 × 26,821.44
  4. Step 4: Simplify right side
    49,176x = 1,820,218,787.02
  5. Step 5: Solve for x
    x = 1,820,218,787.02/49,176
  6. Step 6: Final answer
    x = 37,014.37

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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.