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Finding the Fourth Proportional to 70,517.22, 105,776.16 and 23,770.50

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Solution

The fourth proportional to 70,517.22, 105,776.16 and 23,770.50 is: 35,655.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,517.22 : 105,776.16 = 23,770.50 : x
  2. Step 2: Convert to fraction form
    70,517.22/105,776.16 = 23,770.50/x
  3. Step 3: Cross multiply
    70,517.22x = 105,776.16 × 23,770.50
  4. Step 4: Simplify right side
    70,517.22x = 2,514,352,211.28
  5. Step 5: Solve for x
    x = 2,514,352,211.28/70,517.22
  6. Step 6: Final answer
    x = 35,655.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.