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Finding the Fourth Proportional to 33,657.69, 50,468.67 and 9,961.98

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Solution

The fourth proportional to 33,657.69, 50,468.67 and 9,961.98 is: 14,937.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,657.69 : 50,468.67 = 9,961.98 : x
  2. Step 2: Convert to fraction form
    33,657.69/50,468.67 = 9,961.98/x
  3. Step 3: Cross multiply
    33,657.69x = 50,468.67 × 9,961.98
  4. Step 4: Simplify right side
    33,657.69x = 502,767,881.17
  5. Step 5: Solve for x
    x = 502,767,881.17/33,657.69
  6. Step 6: Final answer
    x = 14,937.68

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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.