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Finding the Fourth Proportional to 101,331.96, 152,001 and 34,771.16

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Solution

The fourth proportional to 101,331.96, 152,001 and 34,771.16 is: 52,157.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,331.96 : 152,001 = 34,771.16 : x
  2. Step 2: Convert to fraction form
    101,331.96/152,001 = 34,771.16/x
  3. Step 3: Cross multiply
    101,331.96x = 152,001 × 34,771.16
  4. Step 4: Simplify right side
    101,331.96x = 5,285,251,091.16
  5. Step 5: Solve for x
    x = 5,285,251,091.16/101,331.96
  6. Step 6: Final answer
    x = 52,157.79

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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.