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Finding the Fourth Proportional to 101,130.50, 151,647.28 and 47,778.07

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Solution

The fourth proportional to 101,130.50, 151,647.28 and 47,778.07 is: 71,644.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,130.50 : 151,647.28 = 47,778.07 : x
  2. Step 2: Convert to fraction form
    101,130.50/151,647.28 = 47,778.07/x
  3. Step 3: Cross multiply
    101,130.50x = 151,647.28 × 47,778.07
  4. Step 4: Simplify right side
    101,130.50x = 7,245,414,359.15
  5. Step 5: Solve for x
    x = 7,245,414,359.15/101,130.50
  6. Step 6: Final answer
    x = 71,644.21

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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.