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Finding the Fourth Proportional to 49,340.31, 68,074.08 and 30,200.13

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Solution

The fourth proportional to 49,340.31, 68,074.08 and 30,200.13 is: 41,666.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,340.31 : 68,074.08 = 30,200.13 : x
  2. Step 2: Convert to fraction form
    49,340.31/68,074.08 = 30,200.13/x
  3. Step 3: Cross multiply
    49,340.31x = 68,074.08 × 30,200.13
  4. Step 4: Simplify right side
    49,340.31x = 2,055,846,065.63
  5. Step 5: Solve for x
    x = 2,055,846,065.63/49,340.31
  6. Step 6: Final answer
    x = 41,666.66

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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.