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Finding the Fourth Proportional to 75,807.70, 113,619.31 and 53,627.47

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Solution

The fourth proportional to 75,807.70, 113,619.31 and 53,627.47 is: 80,375.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,807.70 : 113,619.31 = 53,627.47 : x
  2. Step 2: Convert to fraction form
    75,807.70/113,619.31 = 53,627.47/x
  3. Step 3: Cross multiply
    75,807.70x = 113,619.31 × 53,627.47
  4. Step 4: Simplify right side
    75,807.70x = 6,093,115,720.33
  5. Step 5: Solve for x
    x = 6,093,115,720.33/75,807.70
  6. Step 6: Final answer
    x = 80,375.95

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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.