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Finding the Fourth Proportional to 35,865.82, 53,805.99 and 12,494.08

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Solution

The fourth proportional to 35,865.82, 53,805.99 and 12,494.08 is: 18,743.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,865.82 : 53,805.99 = 12,494.08 : x
  2. Step 2: Convert to fraction form
    35,865.82/53,805.99 = 12,494.08/x
  3. Step 3: Cross multiply
    35,865.82x = 53,805.99 × 12,494.08
  4. Step 4: Simplify right side
    35,865.82x = 672,256,343.54
  5. Step 5: Solve for x
    x = 672,256,343.54/35,865.82
  6. Step 6: Final answer
    x = 18,743.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.