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Finding the Fourth Proportional to 50,677.84, 69,960.36 and 31,825.36

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Solution

The fourth proportional to 50,677.84, 69,960.36 and 31,825.36 is: 43,934.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,677.84 : 69,960.36 = 31,825.36 : x
  2. Step 2: Convert to fraction form
    50,677.84/69,960.36 = 31,825.36/x
  3. Step 3: Cross multiply
    50,677.84x = 69,960.36 × 31,825.36
  4. Step 4: Simplify right side
    50,677.84x = 2,226,513,642.73
  5. Step 5: Solve for x
    x = 2,226,513,642.73/50,677.84
  6. Step 6: Final answer
    x = 43,934.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.