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Finding the Fourth Proportional to 61,614.92, 92,412.22 and 22,164.68

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Solution

The fourth proportional to 61,614.92, 92,412.22 and 22,164.68 is: 33,243.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,614.92 : 92,412.22 = 22,164.68 : x
  2. Step 2: Convert to fraction form
    61,614.92/92,412.22 = 22,164.68/x
  3. Step 3: Cross multiply
    61,614.92x = 92,412.22 × 22,164.68
  4. Step 4: Simplify right side
    61,614.92x = 2,048,287,284.39
  5. Step 5: Solve for x
    x = 2,048,287,284.39/61,614.92
  6. Step 6: Final answer
    x = 33,243.37

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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.