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Finding the Fourth Proportional to 113,176.32, 169,724.32 and 33,192

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Solution

The fourth proportional to 113,176.32, 169,724.32 and 33,192 is: 49,776.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,176.32 : 169,724.32 = 33,192 : x
  2. Step 2: Convert to fraction form
    113,176.32/169,724.32 = 33,192/x
  3. Step 3: Cross multiply
    113,176.32x = 169,724.32 × 33,192
  4. Step 4: Simplify right side
    113,176.32x = 5,633,489,629.44
  5. Step 5: Solve for x
    x = 5,633,489,629.44/113,176.32
  6. Step 6: Final answer
    x = 49,776.22

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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.