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Finding the Fourth Proportional to 27,727, 38,264.21 and 15,152.56

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Solution

The fourth proportional to 27,727, 38,264.21 and 15,152.56 is: 20,911.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,727 : 38,264.21 = 15,152.56 : x
  2. Step 2: Convert to fraction form
    27,727/38,264.21 = 15,152.56/x
  3. Step 3: Cross multiply
    27,727x = 38,264.21 × 15,152.56
  4. Step 4: Simplify right side
    27,727x = 579,800,737.88
  5. Step 5: Solve for x
    x = 579,800,737.88/27,727
  6. Step 6: Final answer
    x = 20,911.05

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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.