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Finding the Fourth Proportional to 101,149.34, 151,791.64 and 41,985

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Solution

The fourth proportional to 101,149.34, 151,791.64 and 41,985 is: 63,005.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,149.34 : 151,791.64 = 41,985 : x
  2. Step 2: Convert to fraction form
    101,149.34/151,791.64 = 41,985/x
  3. Step 3: Cross multiply
    101,149.34x = 151,791.64 × 41,985
  4. Step 4: Simplify right side
    101,149.34x = 6,372,972,005.40
  5. Step 5: Solve for x
    x = 6,372,972,005.40/101,149.34
  6. Step 6: Final answer
    x = 63,005.57

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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.