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Finding the Fourth Proportional to 72,798.41, 109,198.22 and 22,877.39

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Solution

The fourth proportional to 72,798.41, 109,198.22 and 22,877.39 is: 34,316.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,798.41 : 109,198.22 = 22,877.39 : x
  2. Step 2: Convert to fraction form
    72,798.41/109,198.22 = 22,877.39/x
  3. Step 3: Cross multiply
    72,798.41x = 109,198.22 × 22,877.39
  4. Step 4: Simplify right side
    72,798.41x = 2,498,170,266.25
  5. Step 5: Solve for x
    x = 2,498,170,266.25/72,798.41
  6. Step 6: Final answer
    x = 34,316.28

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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.