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Finding the Fourth Proportional to 35,846.43, 53,769.53 and 9,192.39

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Solution

The fourth proportional to 35,846.43, 53,769.53 and 9,192.39 is: 13,788.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,846.43 : 53,769.53 = 9,192.39 : x
  2. Step 2: Convert to fraction form
    35,846.43/53,769.53 = 9,192.39/x
  3. Step 3: Cross multiply
    35,846.43x = 53,769.53 × 9,192.39
  4. Step 4: Simplify right side
    35,846.43x = 494,270,443.91
  5. Step 5: Solve for x
    x = 494,270,443.91/35,846.43
  6. Step 6: Final answer
    x = 13,788.55

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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.