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Finding the Fourth Proportional to 51,168, 76,752 and 14,232.96

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Solution

The fourth proportional to 51,168, 76,752 and 14,232.96 is: 21,349.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,168 : 76,752 = 14,232.96 : x
  2. Step 2: Convert to fraction form
    51,168/76,752 = 14,232.96/x
  3. Step 3: Cross multiply
    51,168x = 76,752 × 14,232.96
  4. Step 4: Simplify right side
    51,168x = 1,092,408,145.92
  5. Step 5: Solve for x
    x = 1,092,408,145.92/51,168
  6. Step 6: Final answer
    x = 21,349.44

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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.