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Finding the Fourth Proportional to 48,838.36, 67,396.53 and 27,618.40

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Solution

The fourth proportional to 48,838.36, 67,396.53 and 27,618.40 is: 38,113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,838.36 : 67,396.53 = 27,618.40 : x
  2. Step 2: Convert to fraction form
    48,838.36/67,396.53 = 27,618.40/x
  3. Step 3: Cross multiply
    48,838.36x = 67,396.53 × 27,618.40
  4. Step 4: Simplify right side
    48,838.36x = 1,861,384,324.15
  5. Step 5: Solve for x
    x = 1,861,384,324.15/48,838.36
  6. Step 6: Final answer
    x = 38,113.16

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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.