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Finding the Fourth Proportional to 83,265.88, 114,906.91 and 45,540.13

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Solution

The fourth proportional to 83,265.88, 114,906.91 and 45,540.13 is: 62,845.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,265.88 : 114,906.91 = 45,540.13 : x
  2. Step 2: Convert to fraction form
    83,265.88/114,906.91 = 45,540.13/x
  3. Step 3: Cross multiply
    83,265.88x = 114,906.91 × 45,540.13
  4. Step 4: Simplify right side
    83,265.88x = 5,232,875,044.76
  5. Step 5: Solve for x
    x = 5,232,875,044.76/83,265.88
  6. Step 6: Final answer
    x = 62,845.37

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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.