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Finding the Fourth Proportional to 132,960.32, 199,382 and 49,796

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Solution

The fourth proportional to 132,960.32, 199,382 and 49,796 is: 74,672.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,960.32 : 199,382 = 49,796 : x
  2. Step 2: Convert to fraction form
    132,960.32/199,382 = 49,796/x
  3. Step 3: Cross multiply
    132,960.32x = 199,382 × 49,796
  4. Step 4: Simplify right side
    132,960.32x = 9,928,426,072
  5. Step 5: Solve for x
    x = 9,928,426,072/132,960.32
  6. Step 6: Final answer
    x = 74,672.10

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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.