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Finding the Fourth Proportional to 43,407.60, 65,111.40 and 23,724.60

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Solution

The fourth proportional to 43,407.60, 65,111.40 and 23,724.60 is: 35,586.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,407.60 : 65,111.40 = 23,724.60 : x
  2. Step 2: Convert to fraction form
    43,407.60/65,111.40 = 23,724.60/x
  3. Step 3: Cross multiply
    43,407.60x = 65,111.40 × 23,724.60
  4. Step 4: Simplify right side
    43,407.60x = 1,544,741,920.44
  5. Step 5: Solve for x
    x = 1,544,741,920.44/43,407.60
  6. Step 6: Final answer
    x = 35,586.90

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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.