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Finding the Fourth Proportional to 49,312.89, 68,048.38 and 27,803.41

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Solution

The fourth proportional to 49,312.89, 68,048.38 and 27,803.41 is: 38,366.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,312.89 : 68,048.38 = 27,803.41 : x
  2. Step 2: Convert to fraction form
    49,312.89/68,048.38 = 27,803.41/x
  3. Step 3: Cross multiply
    49,312.89x = 68,048.38 × 27,803.41
  4. Step 4: Simplify right side
    49,312.89x = 1,891,976,583.96
  5. Step 5: Solve for x
    x = 1,891,976,583.96/49,312.89
  6. Step 6: Final answer
    x = 38,366.77

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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.