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Finding the Fourth Proportional to 101,161.36, 151,772.41 and 47,893.93

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Solution

The fourth proportional to 101,161.36, 151,772.41 and 47,893.93 is: 71,855.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,161.36 : 151,772.41 = 47,893.93 : x
  2. Step 2: Convert to fraction form
    101,161.36/151,772.41 = 47,893.93/x
  3. Step 3: Cross multiply
    101,161.36x = 151,772.41 × 47,893.93
  4. Step 4: Simplify right side
    101,161.36x = 7,268,977,579.93
  5. Step 5: Solve for x
    x = 7,268,977,579.93/101,161.36
  6. Step 6: Final answer
    x = 71,855.28

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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.