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Finding the Fourth Proportional to 49,261.65, 73,910.70 and 19,700.70

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Solution

The fourth proportional to 49,261.65, 73,910.70 and 19,700.70 is: 29,558.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,261.65 : 73,910.70 = 19,700.70 : x
  2. Step 2: Convert to fraction form
    49,261.65/73,910.70 = 19,700.70/x
  3. Step 3: Cross multiply
    49,261.65x = 73,910.70 × 19,700.70
  4. Step 4: Simplify right side
    49,261.65x = 1,456,092,527.49
  5. Step 5: Solve for x
    x = 1,456,092,527.49/49,261.65
  6. Step 6: Final answer
    x = 29,558.34

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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.