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Finding the Fourth Proportional to 33,281.50, 49,923.88 and 9,908.14

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Solution

The fourth proportional to 33,281.50, 49,923.88 and 9,908.14 is: 14,862.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,281.50 : 49,923.88 = 9,908.14 : x
  2. Step 2: Convert to fraction form
    33,281.50/49,923.88 = 9,908.14/x
  3. Step 3: Cross multiply
    33,281.50x = 49,923.88 × 9,908.14
  4. Step 4: Simplify right side
    33,281.50x = 494,652,792.38
  5. Step 5: Solve for x
    x = 494,652,792.38/33,281.50
  6. Step 6: Final answer
    x = 14,862.70

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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.