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Finding the Fourth Proportional to 35,610.69, 53,398 and 11,909.81

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Solution

The fourth proportional to 35,610.69, 53,398 and 11,909.81 is: 17,858.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,610.69 : 53,398 = 11,909.81 : x
  2. Step 2: Convert to fraction form
    35,610.69/53,398 = 11,909.81/x
  3. Step 3: Cross multiply
    35,610.69x = 53,398 × 11,909.81
  4. Step 4: Simplify right side
    35,610.69x = 635,960,034.38
  5. Step 5: Solve for x
    x = 635,960,034.38/35,610.69
  6. Step 6: Final answer
    x = 17,858.68

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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.