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Finding the Fourth Proportional to 51,176.92, 76,757.01 and 36,340.96

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Solution

The fourth proportional to 51,176.92, 76,757.01 and 36,340.96 is: 54,505.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,176.92 : 76,757.01 = 36,340.96 : x
  2. Step 2: Convert to fraction form
    51,176.92/76,757.01 = 36,340.96/x
  3. Step 3: Cross multiply
    51,176.92x = 76,757.01 × 36,340.96
  4. Step 4: Simplify right side
    51,176.92x = 2,789,423,430.13
  5. Step 5: Solve for x
    x = 2,789,423,430.13/51,176.92
  6. Step 6: Final answer
    x = 54,505.50

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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.