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Finding the Fourth Proportional to 75,824.76, 113,644.90 and 53,644.53

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Solution

The fourth proportional to 75,824.76, 113,644.90 and 53,644.53 is: 80,401.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,824.76 : 113,644.90 = 53,644.53 : x
  2. Step 2: Convert to fraction form
    75,824.76/113,644.90 = 53,644.53/x
  3. Step 3: Cross multiply
    75,824.76x = 113,644.90 × 53,644.53
  4. Step 4: Simplify right side
    75,824.76x = 6,096,427,314.45
  5. Step 5: Solve for x
    x = 6,096,427,314.45/75,824.76
  6. Step 6: Final answer
    x = 80,401.54

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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.