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Finding the Fourth Proportional to 83,046.20, 114,604.07 and 45,320.45

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Solution

The fourth proportional to 83,046.20, 114,604.07 and 45,320.45 is: 62,542.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,046.20 : 114,604.07 = 45,320.45 : x
  2. Step 2: Convert to fraction form
    83,046.20/114,604.07 = 45,320.45/x
  3. Step 3: Cross multiply
    83,046.20x = 114,604.07 × 45,320.45
  4. Step 4: Simplify right side
    83,046.20x = 5,193,907,224.61
  5. Step 5: Solve for x
    x = 5,193,907,224.61/83,046.20
  6. Step 6: Final answer
    x = 62,542.39

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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.