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Finding the Fourth Proportional to 69,242.70, 103,789.89 and 49,461.24

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Solution

The fourth proportional to 69,242.70, 103,789.89 and 49,461.24 is: 74,138.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,242.70 : 103,789.89 = 49,461.24 : x
  2. Step 2: Convert to fraction form
    69,242.70/103,789.89 = 49,461.24/x
  3. Step 3: Cross multiply
    69,242.70x = 103,789.89 × 49,461.24
  4. Step 4: Simplify right side
    69,242.70x = 5,133,576,658.86
  5. Step 5: Solve for x
    x = 5,133,576,658.86/69,242.70
  6. Step 6: Final answer
    x = 74,138.89

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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.