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Finding the Fourth Proportional to 83,076.45, 114,644.03 and 47,265.71

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Solution

The fourth proportional to 83,076.45, 114,644.03 and 47,265.71 is: 65,225.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,076.45 : 114,644.03 = 47,265.71 : x
  2. Step 2: Convert to fraction form
    83,076.45/114,644.03 = 47,265.71/x
  3. Step 3: Cross multiply
    83,076.45x = 114,644.03 × 47,265.71
  4. Step 4: Simplify right side
    83,076.45x = 5,418,730,665.66
  5. Step 5: Solve for x
    x = 5,418,730,665.66/83,076.45
  6. Step 6: Final answer
    x = 65,225.83

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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.