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Finding the Fourth Proportional to 73,833.65, 110,622.90 and 34,309.70

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Solution

The fourth proportional to 73,833.65, 110,622.90 and 34,309.70 is: 51,405.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,833.65 : 110,622.90 = 34,309.70 : x
  2. Step 2: Convert to fraction form
    73,833.65/110,622.90 = 34,309.70/x
  3. Step 3: Cross multiply
    73,833.65x = 110,622.90 × 34,309.70
  4. Step 4: Simplify right side
    73,833.65x = 3,795,438,512.13
  5. Step 5: Solve for x
    x = 3,795,438,512.13/73,833.65
  6. Step 6: Final answer
    x = 51,405.27

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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.