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Finding the Fourth Proportional to 48,617.80, 67,074.12 and 30,706

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Solution

The fourth proportional to 48,617.80, 67,074.12 and 30,706 is: 42,362.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,617.80 : 67,074.12 = 30,706 : x
  2. Step 2: Convert to fraction form
    48,617.80/67,074.12 = 30,706/x
  3. Step 3: Cross multiply
    48,617.80x = 67,074.12 × 30,706
  4. Step 4: Simplify right side
    48,617.80x = 2,059,577,928.72
  5. Step 5: Solve for x
    x = 2,059,577,928.72/48,617.80
  6. Step 6: Final answer
    x = 42,362.63

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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.