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Finding the Fourth Proportional to 101,769.42, 152,624.96 and 34,294.11

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Solution

The fourth proportional to 101,769.42, 152,624.96 and 34,294.11 is: 51,431.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,769.42 : 152,624.96 = 34,294.11 : x
  2. Step 2: Convert to fraction form
    101,769.42/152,624.96 = 34,294.11/x
  3. Step 3: Cross multiply
    101,769.42x = 152,624.96 × 34,294.11
  4. Step 4: Simplify right side
    101,769.42x = 5,234,137,166.99
  5. Step 5: Solve for x
    x = 5,234,137,166.99/101,769.42
  6. Step 6: Final answer
    x = 51,431.34

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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.