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Finding the Fourth Proportional to 121,854.72, 182,785.86 and 33,107.88

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Solution

The fourth proportional to 121,854.72, 182,785.86 and 33,107.88 is: 49,662.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,854.72 : 182,785.86 = 33,107.88 : x
  2. Step 2: Convert to fraction form
    121,854.72/182,785.86 = 33,107.88/x
  3. Step 3: Cross multiply
    121,854.72x = 182,785.86 × 33,107.88
  4. Step 4: Simplify right side
    121,854.72x = 6,051,652,318.58
  5. Step 5: Solve for x
    x = 6,051,652,318.58/121,854.72
  6. Step 6: Final answer
    x = 49,662.85

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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.