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Finding the Fourth Proportional to 49,548, 68,376.24 and 29,676

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Solution

The fourth proportional to 49,548, 68,376.24 and 29,676 is: 40,952.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,548 : 68,376.24 = 29,676 : x
  2. Step 2: Convert to fraction form
    49,548/68,376.24 = 29,676/x
  3. Step 3: Cross multiply
    49,548x = 68,376.24 × 29,676
  4. Step 4: Simplify right side
    49,548x = 2,029,133,298.24
  5. Step 5: Solve for x
    x = 2,029,133,298.24/49,548
  6. Step 6: Final answer
    x = 40,952.88

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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.