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Finding the Fourth Proportional to 66,786.60, 92,162 and 36,566.16

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Solution

The fourth proportional to 66,786.60, 92,162 and 36,566.16 is: 50,459.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,786.60 : 92,162 = 36,566.16 : x
  2. Step 2: Convert to fraction form
    66,786.60/92,162 = 36,566.16/x
  3. Step 3: Cross multiply
    66,786.60x = 92,162 × 36,566.16
  4. Step 4: Simplify right side
    66,786.60x = 3,370,010,437.92
  5. Step 5: Solve for x
    x = 3,370,010,437.92/66,786.60
  6. Step 6: Final answer
    x = 50,459.38

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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.