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Finding the Fourth Proportional to 57,162.94, 78,860.62 and 35,934.46

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Solution

The fourth proportional to 57,162.94, 78,860.62 and 35,934.46 is: 49,574.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,162.94 : 78,860.62 = 35,934.46 : x
  2. Step 2: Convert to fraction form
    57,162.94/78,860.62 = 35,934.46/x
  3. Step 3: Cross multiply
    57,162.94x = 78,860.62 × 35,934.46
  4. Step 4: Simplify right side
    57,162.94x = 2,833,813,794.97
  5. Step 5: Solve for x
    x = 2,833,813,794.97/57,162.94
  6. Step 6: Final answer
    x = 49,574.32

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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.