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Finding the Fourth Proportional to 50,716.80, 75,708.72 and 44,496

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Solution

The fourth proportional to 50,716.80, 75,708.72 and 44,496 is: 66,422.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,716.80 : 75,708.72 = 44,496 : x
  2. Step 2: Convert to fraction form
    50,716.80/75,708.72 = 44,496/x
  3. Step 3: Cross multiply
    50,716.80x = 75,708.72 × 44,496
  4. Step 4: Simplify right side
    50,716.80x = 3,368,735,205.12
  5. Step 5: Solve for x
    x = 3,368,735,205.12/50,716.80
  6. Step 6: Final answer
    x = 66,422.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.