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Finding the Fourth Proportional to 33,053.47, 45,613.94 and 17,946.23

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Solution

The fourth proportional to 33,053.47, 45,613.94 and 17,946.23 is: 24,765.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,053.47 : 45,613.94 = 17,946.23 : x
  2. Step 2: Convert to fraction form
    33,053.47/45,613.94 = 17,946.23/x
  3. Step 3: Cross multiply
    33,053.47x = 45,613.94 × 17,946.23
  4. Step 4: Simplify right side
    33,053.47x = 818,597,940.65
  5. Step 5: Solve for x
    x = 818,597,940.65/33,053.47
  6. Step 6: Final answer
    x = 24,765.87

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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.