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Finding the Fourth Proportional to 65,721.72, 90,706.38 and 41,859

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Solution

The fourth proportional to 65,721.72, 90,706.38 and 41,859 is: 57,772.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,721.72 : 90,706.38 = 41,859 : x
  2. Step 2: Convert to fraction form
    65,721.72/90,706.38 = 41,859/x
  3. Step 3: Cross multiply
    65,721.72x = 90,706.38 × 41,859
  4. Step 4: Simplify right side
    65,721.72x = 3,796,878,360.42
  5. Step 5: Solve for x
    x = 3,796,878,360.42/65,721.72
  6. Step 6: Final answer
    x = 57,772.05

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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.