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Finding the Fourth Proportional to 132,736.92, 199,124.10 and 49,623

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Solution

The fourth proportional to 132,736.92, 199,124.10 and 49,623 is: 74,441.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,736.92 : 199,124.10 = 49,623 : x
  2. Step 2: Convert to fraction form
    132,736.92/199,124.10 = 49,623/x
  3. Step 3: Cross multiply
    132,736.92x = 199,124.10 × 49,623
  4. Step 4: Simplify right side
    132,736.92x = 9,881,135,214.30
  5. Step 5: Solve for x
    x = 9,881,135,214.30/132,736.92
  6. Step 6: Final answer
    x = 74,441.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.