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Finding the Fourth Proportional to 132,894.69, 199,346.75 and 33,055.40

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Solution

The fourth proportional to 132,894.69, 199,346.75 and 33,055.40 is: 49,584.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,894.69 : 199,346.75 = 33,055.40 : x
  2. Step 2: Convert to fraction form
    132,894.69/199,346.75 = 33,055.40/x
  3. Step 3: Cross multiply
    132,894.69x = 199,346.75 × 33,055.40
  4. Step 4: Simplify right side
    132,894.69x = 6,589,485,397.94
  5. Step 5: Solve for x
    x = 6,589,485,397.94/132,894.69
  6. Step 6: Final answer
    x = 49,584.26

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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.