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Finding the Fourth Proportional to 98,823, 148,249.86 and 33,174.36

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Solution

The fourth proportional to 98,823, 148,249.86 and 33,174.36 is: 49,766.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,823 : 148,249.86 = 33,174.36 : x
  2. Step 2: Convert to fraction form
    98,823/148,249.86 = 33,174.36/x
  3. Step 3: Cross multiply
    98,823x = 148,249.86 × 33,174.36
  4. Step 4: Simplify right side
    98,823x = 4,918,094,225.59
  5. Step 5: Solve for x
    x = 4,918,094,225.59/98,823
  6. Step 6: Final answer
    x = 49,766.70

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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.