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Finding the Fourth Proportional to 73,083.36, 100,854.44 and 41,252

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Solution

The fourth proportional to 73,083.36, 100,854.44 and 41,252 is: 56,927.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,083.36 : 100,854.44 = 41,252 : x
  2. Step 2: Convert to fraction form
    73,083.36/100,854.44 = 41,252/x
  3. Step 3: Cross multiply
    73,083.36x = 100,854.44 × 41,252
  4. Step 4: Simplify right side
    73,083.36x = 4,160,447,358.88
  5. Step 5: Solve for x
    x = 4,160,447,358.88/73,083.36
  6. Step 6: Final answer
    x = 56,927.42

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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.