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Finding the Fourth Proportional to 70,409.26, 105,620.38 and 23,024.60

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Solution

The fourth proportional to 70,409.26, 105,620.38 and 23,024.60 is: 34,539.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,409.26 : 105,620.38 = 23,024.60 : x
  2. Step 2: Convert to fraction form
    70,409.26/105,620.38 = 23,024.60/x
  3. Step 3: Cross multiply
    70,409.26x = 105,620.38 × 23,024.60
  4. Step 4: Simplify right side
    70,409.26x = 2,431,866,415.68
  5. Step 5: Solve for x
    x = 2,431,866,415.68/70,409.26
  6. Step 6: Final answer
    x = 34,539.02

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Why These Related Problems?

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