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Finding the Fourth Proportional to 65,752.92, 90,737.34 and 35,943

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Solution

The fourth proportional to 65,752.92, 90,737.34 and 35,943 is: 49,600.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,752.92 : 90,737.34 = 35,943 : x
  2. Step 2: Convert to fraction form
    65,752.92/90,737.34 = 35,943/x
  3. Step 3: Cross multiply
    65,752.92x = 90,737.34 × 35,943
  4. Step 4: Simplify right side
    65,752.92x = 3,261,372,211.62
  5. Step 5: Solve for x
    x = 3,261,372,211.62/65,752.92
  6. Step 6: Final answer
    x = 49,600.42

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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.