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Finding the Fourth Proportional to 60,800.25, 83,902.71 and 33,942

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Solution

The fourth proportional to 60,800.25, 83,902.71 and 33,942 is: 46,839.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,800.25 : 83,902.71 = 33,942 : x
  2. Step 2: Convert to fraction form
    60,800.25/83,902.71 = 33,942/x
  3. Step 3: Cross multiply
    60,800.25x = 83,902.71 × 33,942
  4. Step 4: Simplify right side
    60,800.25x = 2,847,825,782.82
  5. Step 5: Solve for x
    x = 2,847,825,782.82/60,800.25
  6. Step 6: Final answer
    x = 46,839.05

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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.