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Finding the Fourth Proportional to 33,958.26, 50,934.96 and 10,584

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Solution

The fourth proportional to 33,958.26, 50,934.96 and 10,584 is: 15,875.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,958.26 : 50,934.96 = 10,584 : x
  2. Step 2: Convert to fraction form
    33,958.26/50,934.96 = 10,584/x
  3. Step 3: Cross multiply
    33,958.26x = 50,934.96 × 10,584
  4. Step 4: Simplify right side
    33,958.26x = 539,095,616.64
  5. Step 5: Solve for x
    x = 539,095,616.64/33,958.26
  6. Step 6: Final answer
    x = 15,875.24

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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.