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Finding the Fourth Proportional to 33,053, 45,613.14 and 18,149

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Solution

The fourth proportional to 33,053, 45,613.14 and 18,149 is: 25,045.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,053 : 45,613.14 = 18,149 : x
  2. Step 2: Convert to fraction form
    33,053/45,613.14 = 18,149/x
  3. Step 3: Cross multiply
    33,053x = 45,613.14 × 18,149
  4. Step 4: Simplify right side
    33,053x = 827,832,877.86
  5. Step 5: Solve for x
    x = 827,832,877.86/33,053
  6. Step 6: Final answer
    x = 25,045.62

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Why These Related Problems?

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