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Finding the Fourth Proportional to 51,157.98, 76,737.78 and 24,857.28

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Solution

The fourth proportional to 51,157.98, 76,737.78 and 24,857.28 is: 37,286.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,157.98 : 76,737.78 = 24,857.28 : x
  2. Step 2: Convert to fraction form
    51,157.98/76,737.78 = 24,857.28/x
  3. Step 3: Cross multiply
    51,157.98x = 76,737.78 × 24,857.28
  4. Step 4: Simplify right side
    51,157.98x = 1,907,492,484.04
  5. Step 5: Solve for x
    x = 1,907,492,484.04/51,157.98
  6. Step 6: Final answer
    x = 37,286.31

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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.