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Finding the Fourth Proportional to 51,844.44, 77,747.22 and 24,123

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Solution

The fourth proportional to 51,844.44, 77,747.22 and 24,123 is: 36,175.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,844.44 : 77,747.22 = 24,123 : x
  2. Step 2: Convert to fraction form
    51,844.44/77,747.22 = 24,123/x
  3. Step 3: Cross multiply
    51,844.44x = 77,747.22 × 24,123
  4. Step 4: Simplify right side
    51,844.44x = 1,875,496,188.06
  5. Step 5: Solve for x
    x = 1,875,496,188.06/51,844.44
  6. Step 6: Final answer
    x = 36,175.45

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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.