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Finding the Fourth Proportional to 88,226.88, 132,262.56 and 32,784

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Solution

The fourth proportional to 88,226.88, 132,262.56 and 32,784 is: 49,147.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,226.88 : 132,262.56 = 32,784 : x
  2. Step 2: Convert to fraction form
    88,226.88/132,262.56 = 32,784/x
  3. Step 3: Cross multiply
    88,226.88x = 132,262.56 × 32,784
  4. Step 4: Simplify right side
    88,226.88x = 4,336,095,767.04
  5. Step 5: Solve for x
    x = 4,336,095,767.04/88,226.88
  6. Step 6: Final answer
    x = 49,147.11

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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.