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Finding the Fourth Proportional to 49,797.30, 74,650.74 and 24,844.98

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Solution

The fourth proportional to 49,797.30, 74,650.74 and 24,844.98 is: 37,244.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,797.30 : 74,650.74 = 24,844.98 : x
  2. Step 2: Convert to fraction form
    49,797.30/74,650.74 = 24,844.98/x
  3. Step 3: Cross multiply
    49,797.30x = 74,650.74 × 24,844.98
  4. Step 4: Simplify right side
    49,797.30x = 1,854,696,142.29
  5. Step 5: Solve for x
    x = 1,854,696,142.29/49,797.30
  6. Step 6: Final answer
    x = 37,244.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.