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Finding the Fourth Proportional to 80,409.46, 110,971.86 and 44,611

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Solution

The fourth proportional to 80,409.46, 110,971.86 and 44,611 is: 61,566.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,409.46 : 110,971.86 = 44,611 : x
  2. Step 2: Convert to fraction form
    80,409.46/110,971.86 = 44,611/x
  3. Step 3: Cross multiply
    80,409.46x = 110,971.86 × 44,611
  4. Step 4: Simplify right side
    80,409.46x = 4,950,565,646.46
  5. Step 5: Solve for x
    x = 4,950,565,646.46/80,409.46
  6. Step 6: Final answer
    x = 61,566.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.