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Finding the Fourth Proportional to 48,228.40, 66,560 and 27,811

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Solution

The fourth proportional to 48,228.40, 66,560 and 27,811 is: 38,381.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,228.40 : 66,560 = 27,811 : x
  2. Step 2: Convert to fraction form
    48,228.40/66,560 = 27,811/x
  3. Step 3: Cross multiply
    48,228.40x = 66,560 × 27,811
  4. Step 4: Simplify right side
    48,228.40x = 1,851,100,160
  5. Step 5: Solve for x
    x = 1,851,100,160/48,228.40
  6. Step 6: Final answer
    x = 38,381.95

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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.