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Finding the Fourth Proportional to 65,712.72, 90,682.02 and 37,033.80

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Solution

The fourth proportional to 65,712.72, 90,682.02 and 37,033.80 is: 51,105.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,712.72 : 90,682.02 = 37,033.80 : x
  2. Step 2: Convert to fraction form
    65,712.72/90,682.02 = 37,033.80/x
  3. Step 3: Cross multiply
    65,712.72x = 90,682.02 × 37,033.80
  4. Step 4: Simplify right side
    65,712.72x = 3,358,299,792.28
  5. Step 5: Solve for x
    x = 3,358,299,792.28/65,712.72
  6. Step 6: Final answer
    x = 51,105.78

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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.