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Finding the Fourth Proportional to 99,852.76, 149,762.86 and 33,293.44

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Solution

The fourth proportional to 99,852.76, 149,762.86 and 33,293.44 is: 49,934.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,852.76 : 149,762.86 = 33,293.44 : x
  2. Step 2: Convert to fraction form
    99,852.76/149,762.86 = 33,293.44/x
  3. Step 3: Cross multiply
    99,852.76x = 149,762.86 × 33,293.44
  4. Step 4: Simplify right side
    99,852.76x = 4,986,120,793.64
  5. Step 5: Solve for x
    x = 4,986,120,793.64/99,852.76
  6. Step 6: Final answer
    x = 49,934.73

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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.