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Finding the Fourth Proportional to 83,273.88, 114,919.77 and 45,548.13

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Solution

The fourth proportional to 83,273.88, 114,919.77 and 45,548.13 is: 62,857.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,273.88 : 114,919.77 = 45,548.13 : x
  2. Step 2: Convert to fraction form
    83,273.88/114,919.77 = 45,548.13/x
  3. Step 3: Cross multiply
    83,273.88x = 114,919.77 × 45,548.13
  4. Step 4: Simplify right side
    83,273.88x = 5,234,380,048.93
  5. Step 5: Solve for x
    x = 5,234,380,048.93/83,273.88
  6. Step 6: Final answer
    x = 62,857.41

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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.