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Finding the Fourth Proportional to 35,837.67, 53,757.45 and 9,542.46

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Solution

The fourth proportional to 35,837.67, 53,757.45 and 9,542.46 is: 14,313.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,837.67 : 53,757.45 = 9,542.46 : x
  2. Step 2: Convert to fraction form
    35,837.67/53,757.45 = 9,542.46/x
  3. Step 3: Cross multiply
    35,837.67x = 53,757.45 × 9,542.46
  4. Step 4: Simplify right side
    35,837.67x = 512,978,316.33
  5. Step 5: Solve for x
    x = 512,978,316.33/35,837.67
  6. Step 6: Final answer
    x = 14,313.94

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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.