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Finding the Fourth Proportional to 83,265.38, 114,906.22 and 45,539.63

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Solution

The fourth proportional to 83,265.38, 114,906.22 and 45,539.63 is: 62,844.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,265.38 : 114,906.22 = 45,539.63 : x
  2. Step 2: Convert to fraction form
    83,265.38/114,906.22 = 45,539.63/x
  3. Step 3: Cross multiply
    83,265.38x = 114,906.22 × 45,539.63
  4. Step 4: Simplify right side
    83,265.38x = 5,232,786,055.12
  5. Step 5: Solve for x
    x = 5,232,786,055.12/83,265.38
  6. Step 6: Final answer
    x = 62,844.68

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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.