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Finding the Fourth Proportional to 76,200.47, 113,837.26 and 49,327.53

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Solution

The fourth proportional to 76,200.47, 113,837.26 and 49,327.53 is: 73,691.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,200.47 : 113,837.26 = 49,327.53 : x
  2. Step 2: Convert to fraction form
    76,200.47/113,837.26 = 49,327.53/x
  3. Step 3: Cross multiply
    76,200.47x = 113,837.26 × 49,327.53
  4. Step 4: Simplify right side
    76,200.47x = 5,615,311,055.73
  5. Step 5: Solve for x
    x = 5,615,311,055.73/76,200.47
  6. Step 6: Final answer
    x = 73,691.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.