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Finding the Fourth Proportional to 75,730.43, 104,508.42 and 43,918.22

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Solution

The fourth proportional to 75,730.43, 104,508.42 and 43,918.22 is: 60,607.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,730.43 : 104,508.42 = 43,918.22 : x
  2. Step 2: Convert to fraction form
    75,730.43/104,508.42 = 43,918.22/x
  3. Step 3: Cross multiply
    75,730.43x = 104,508.42 × 43,918.22
  4. Step 4: Simplify right side
    75,730.43x = 4,589,823,781.41
  5. Step 5: Solve for x
    x = 4,589,823,781.41/75,730.43
  6. Step 6: Final answer
    x = 60,607.39

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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.