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Finding the Fourth Proportional to 101,995.74, 152,884.23 and 49,332.78

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Solution

The fourth proportional to 101,995.74, 152,884.23 and 49,332.78 is: 73,946.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,995.74 : 152,884.23 = 49,332.78 : x
  2. Step 2: Convert to fraction form
    101,995.74/152,884.23 = 49,332.78/x
  3. Step 3: Cross multiply
    101,995.74x = 152,884.23 × 49,332.78
  4. Step 4: Simplify right side
    101,995.74x = 7,542,204,084.06
  5. Step 5: Solve for x
    x = 7,542,204,084.06/101,995.74
  6. Step 6: Final answer
    x = 73,946.27

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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.