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Finding the Fourth Proportional to 65,263.41, 90,057.87 and 36,192.60

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Solution

The fourth proportional to 65,263.41, 90,057.87 and 36,192.60 is: 49,942.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,263.41 : 90,057.87 = 36,192.60 : x
  2. Step 2: Convert to fraction form
    65,263.41/90,057.87 = 36,192.60/x
  3. Step 3: Cross multiply
    65,263.41x = 90,057.87 × 36,192.60
  4. Step 4: Simplify right side
    65,263.41x = 3,259,428,465.76
  5. Step 5: Solve for x
    x = 3,259,428,465.76/65,263.41
  6. Step 6: Final answer
    x = 49,942.66

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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.