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Finding the Fourth Proportional to 83,093.40, 124,625.70 and 30,475.80

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Solution

The fourth proportional to 83,093.40, 124,625.70 and 30,475.80 is: 45,708.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,093.40 : 124,625.70 = 30,475.80 : x
  2. Step 2: Convert to fraction form
    83,093.40/124,625.70 = 30,475.80/x
  3. Step 3: Cross multiply
    83,093.40x = 124,625.70 × 30,475.80
  4. Step 4: Simplify right side
    83,093.40x = 3,798,067,908.06
  5. Step 5: Solve for x
    x = 3,798,067,908.06/83,093.40
  6. Step 6: Final answer
    x = 45,708.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.