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Finding the Fourth Proportional to 65,270.50, 90,101.75 and 41,433.82

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Solution

The fourth proportional to 65,270.50, 90,101.75 and 41,433.82 is: 57,196.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,270.50 : 90,101.75 = 41,433.82 : x
  2. Step 2: Convert to fraction form
    65,270.50/90,101.75 = 41,433.82/x
  3. Step 3: Cross multiply
    65,270.50x = 90,101.75 × 41,433.82
  4. Step 4: Simplify right side
    65,270.50x = 3,733,259,258.76
  5. Step 5: Solve for x
    x = 3,733,259,258.76/65,270.50
  6. Step 6: Final answer
    x = 57,196.73

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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.