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Finding the Fourth Proportional to 66,105.66, 91,225.92 and 35,890.98

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Solution

The fourth proportional to 66,105.66, 91,225.92 and 35,890.98 is: 49,529.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,105.66 : 91,225.92 = 35,890.98 : x
  2. Step 2: Convert to fraction form
    66,105.66/91,225.92 = 35,890.98/x
  3. Step 3: Cross multiply
    66,105.66x = 91,225.92 × 35,890.98
  4. Step 4: Simplify right side
    66,105.66x = 3,274,187,670.20
  5. Step 5: Solve for x
    x = 3,274,187,670.20/66,105.66
  6. Step 6: Final answer
    x = 49,529.61

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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.