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Finding the Fourth Proportional to 39,921.68, 55,094.42 and 22,016.68

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Solution

The fourth proportional to 39,921.68, 55,094.42 and 22,016.68 is: 30,384.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,921.68 : 55,094.42 = 22,016.68 : x
  2. Step 2: Convert to fraction form
    39,921.68/55,094.42 = 22,016.68/x
  3. Step 3: Cross multiply
    39,921.68x = 55,094.42 × 22,016.68
  4. Step 4: Simplify right side
    39,921.68x = 1,212,996,132.23
  5. Step 5: Solve for x
    x = 1,212,996,132.23/39,921.68
  6. Step 6: Final answer
    x = 30,384.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.