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Finding the Fourth Proportional to 73,883.78, 110,989.71 and 45,824.58

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Solution

The fourth proportional to 73,883.78, 110,989.71 and 45,824.58 is: 68,838.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,883.78 : 110,989.71 = 45,824.58 : x
  2. Step 2: Convert to fraction form
    73,883.78/110,989.71 = 45,824.58/x
  3. Step 3: Cross multiply
    73,883.78x = 110,989.71 × 45,824.58
  4. Step 4: Simplify right side
    73,883.78x = 5,086,056,845.07
  5. Step 5: Solve for x
    x = 5,086,056,845.07/73,883.78
  6. Step 6: Final answer
    x = 68,838.61

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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.