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Finding the Fourth Proportional to 75,951.78, 113,929.49 and 23,361.72

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Solution

The fourth proportional to 75,951.78, 113,929.49 and 23,361.72 is: 35,043.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,951.78 : 113,929.49 = 23,361.72 : x
  2. Step 2: Convert to fraction form
    75,951.78/113,929.49 = 23,361.72/x
  3. Step 3: Cross multiply
    75,951.78x = 113,929.49 × 23,361.72
  4. Step 4: Simplify right side
    75,951.78x = 2,661,588,845.12
  5. Step 5: Solve for x
    x = 2,661,588,845.12/75,951.78
  6. Step 6: Final answer
    x = 35,043.14

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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.