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Finding the Fourth Proportional to 75,224.46, 112,748.96 and 55,318.44

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Solution

The fourth proportional to 75,224.46, 112,748.96 and 55,318.44 is: 82,913.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,224.46 : 112,748.96 = 55,318.44 : x
  2. Step 2: Convert to fraction form
    75,224.46/112,748.96 = 55,318.44/x
  3. Step 3: Cross multiply
    75,224.46x = 112,748.96 × 55,318.44
  4. Step 4: Simplify right side
    75,224.46x = 6,237,096,578.82
  5. Step 5: Solve for x
    x = 6,237,096,578.82/75,224.46
  6. Step 6: Final answer
    x = 82,913.15

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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.