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Finding the Fourth Proportional to 52,185.32, 78,226.48 and 33,411.92

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Solution

The fourth proportional to 52,185.32, 78,226.48 and 33,411.92 is: 50,084.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,185.32 : 78,226.48 = 33,411.92 : x
  2. Step 2: Convert to fraction form
    52,185.32/78,226.48 = 33,411.92/x
  3. Step 3: Cross multiply
    52,185.32x = 78,226.48 × 33,411.92
  4. Step 4: Simplify right side
    52,185.32x = 2,613,696,891.64
  5. Step 5: Solve for x
    x = 2,613,696,891.64/52,185.32
  6. Step 6: Final answer
    x = 50,084.91

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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.