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Finding the Fourth Proportional to 48,020.71, 66,264.94 and 27,874.34

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Solution

The fourth proportional to 48,020.71, 66,264.94 and 27,874.34 is: 38,464.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,020.71 : 66,264.94 = 27,874.34 : x
  2. Step 2: Convert to fraction form
    48,020.71/66,264.94 = 27,874.34/x
  3. Step 3: Cross multiply
    48,020.71x = 66,264.94 × 27,874.34
  4. Step 4: Simplify right side
    48,020.71x = 1,847,091,328.27
  5. Step 5: Solve for x
    x = 1,847,091,328.27/48,020.71
  6. Step 6: Final answer
    x = 38,464.48

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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.