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Finding the Fourth Proportional to 49,056, 67,697.28 and 26,700

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Solution

The fourth proportional to 49,056, 67,697.28 and 26,700 is: 36,846

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,056 : 67,697.28 = 26,700 : x
  2. Step 2: Convert to fraction form
    49,056/67,697.28 = 26,700/x
  3. Step 3: Cross multiply
    49,056x = 67,697.28 × 26,700
  4. Step 4: Simplify right side
    49,056x = 1,807,517,376
  5. Step 5: Solve for x
    x = 1,807,517,376/49,056
  6. Step 6: Final answer
    x = 36,846

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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.