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Finding the Fourth Proportional to 48,896.95, 67,478.01 and 27,680.32

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Solution

The fourth proportional to 48,896.95, 67,478.01 and 27,680.32 is: 38,198.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,896.95 : 67,478.01 = 27,680.32 : x
  2. Step 2: Convert to fraction form
    48,896.95/67,478.01 = 27,680.32/x
  3. Step 3: Cross multiply
    48,896.95x = 67,478.01 × 27,680.32
  4. Step 4: Simplify right side
    48,896.95x = 1,867,812,741.07
  5. Step 5: Solve for x
    x = 1,867,812,741.07/48,896.95
  6. Step 6: Final answer
    x = 38,198.96

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1.5x scale

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.