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Finding the Fourth Proportional to 33,184.72, 45,798.24 and 19,042

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Solution

The fourth proportional to 33,184.72, 45,798.24 and 19,042 is: 26,279.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,184.72 : 45,798.24 = 19,042 : x
  2. Step 2: Convert to fraction form
    33,184.72/45,798.24 = 19,042/x
  3. Step 3: Cross multiply
    33,184.72x = 45,798.24 × 19,042
  4. Step 4: Simplify right side
    33,184.72x = 872,090,086.08
  5. Step 5: Solve for x
    x = 872,090,086.08/33,184.72
  6. Step 6: Final answer
    x = 26,279.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.