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Finding the Fourth Proportional to 49,395.72, 74,098.44 and 16,114.44

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Solution

The fourth proportional to 49,395.72, 74,098.44 and 16,114.44 is: 24,173.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,395.72 : 74,098.44 = 16,114.44 : x
  2. Step 2: Convert to fraction form
    49,395.72/74,098.44 = 16,114.44/x
  3. Step 3: Cross multiply
    49,395.72x = 74,098.44 × 16,114.44
  4. Step 4: Simplify right side
    49,395.72x = 1,194,054,865.47
  5. Step 5: Solve for x
    x = 1,194,054,865.47/49,395.72
  6. Step 6: Final answer
    x = 24,173.25

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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.