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Finding the Fourth Proportional to 33,258, 49,890.24 and 8,634

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Solution

The fourth proportional to 33,258, 49,890.24 and 8,634 is: 12,951.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,258 : 49,890.24 = 8,634 : x
  2. Step 2: Convert to fraction form
    33,258/49,890.24 = 8,634/x
  3. Step 3: Cross multiply
    33,258x = 49,890.24 × 8,634
  4. Step 4: Simplify right side
    33,258x = 430,752,332.16
  5. Step 5: Solve for x
    x = 430,752,332.16/33,258
  6. Step 6: Final answer
    x = 12,951.84

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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.