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Finding the Fourth Proportional to 132,733.54, 199,097.88 and 32,893.96

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Solution

The fourth proportional to 132,733.54, 199,097.88 and 32,893.96 is: 49,340.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,733.54 : 199,097.88 = 32,893.96 : x
  2. Step 2: Convert to fraction form
    132,733.54/199,097.88 = 32,893.96/x
  3. Step 3: Cross multiply
    132,733.54x = 199,097.88 × 32,893.96
  4. Step 4: Simplify right side
    132,733.54x = 6,549,117,700.80
  5. Step 5: Solve for x
    x = 6,549,117,700.80/132,733.54
  6. Step 6: Final answer
    x = 49,340.34

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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.