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Finding the Fourth Proportional to 33,784.68, 50,678.28 and 11,613.36

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Solution

The fourth proportional to 33,784.68, 50,678.28 and 11,613.36 is: 17,420.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,784.68 : 50,678.28 = 11,613.36 : x
  2. Step 2: Convert to fraction form
    33,784.68/50,678.28 = 11,613.36/x
  3. Step 3: Cross multiply
    33,784.68x = 50,678.28 × 11,613.36
  4. Step 4: Simplify right side
    33,784.68x = 588,545,109.82
  5. Step 5: Solve for x
    x = 588,545,109.82/33,784.68
  6. Step 6: Final answer
    x = 17,420.47

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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.