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Finding the Fourth Proportional to 132,895.69, 199,348.25 and 33,056.40

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Solution

The fourth proportional to 132,895.69, 199,348.25 and 33,056.40 is: 49,585.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,895.69 : 199,348.25 = 33,056.40 : x
  2. Step 2: Convert to fraction form
    132,895.69/199,348.25 = 33,056.40/x
  3. Step 3: Cross multiply
    132,895.69x = 199,348.25 × 33,056.40
  4. Step 4: Simplify right side
    132,895.69x = 6,589,735,491.30
  5. Step 5: Solve for x
    x = 6,589,735,491.30/132,895.69
  6. Step 6: Final answer
    x = 49,585.77

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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.