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Finding the Fourth Proportional to 101,129.50, 151,645.78 and 47,777.07

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Solution

The fourth proportional to 101,129.50, 151,645.78 and 47,777.07 is: 71,642.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,129.50 : 151,645.78 = 47,777.07 : x
  2. Step 2: Convert to fraction form
    101,129.50/151,645.78 = 47,777.07/x
  3. Step 3: Cross multiply
    101,129.50x = 151,645.78 × 47,777.07
  4. Step 4: Simplify right side
    101,129.50x = 7,245,190,462.33
  5. Step 5: Solve for x
    x = 7,245,190,462.33/101,129.50
  6. Step 6: Final answer
    x = 71,642.70

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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.