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Finding the Fourth Proportional to 49,674.40, 68,576.04 and 38,318.40

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Solution

The fourth proportional to 49,674.40, 68,576.04 and 38,318.40 is: 52,898.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,674.40 : 68,576.04 = 38,318.40 : x
  2. Step 2: Convert to fraction form
    49,674.40/68,576.04 = 38,318.40/x
  3. Step 3: Cross multiply
    49,674.40x = 68,576.04 × 38,318.40
  4. Step 4: Simplify right side
    49,674.40x = 2,627,724,131.14
  5. Step 5: Solve for x
    x = 2,627,724,131.14/49,674.40
  6. Step 6: Final answer
    x = 52,898.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.