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Finding the Fourth Proportional to 34,769.45, 52,151.45 and 9,808.49

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Solution

The fourth proportional to 34,769.45, 52,151.45 and 9,808.49 is: 14,711.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,769.45 : 52,151.45 = 9,808.49 : x
  2. Step 2: Convert to fraction form
    34,769.45/52,151.45 = 9,808.49/x
  3. Step 3: Cross multiply
    34,769.45x = 52,151.45 × 9,808.49
  4. Step 4: Simplify right side
    34,769.45x = 511,527,057.15
  5. Step 5: Solve for x
    x = 511,527,057.15/34,769.45
  6. Step 6: Final answer
    x = 14,711.97

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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.