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Finding the Fourth Proportional to 43,647.63, 65,500.14 and 23,940

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Solution

The fourth proportional to 43,647.63, 65,500.14 and 23,940 is: 35,925.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,647.63 : 65,500.14 = 23,940 : x
  2. Step 2: Convert to fraction form
    43,647.63/65,500.14 = 23,940/x
  3. Step 3: Cross multiply
    43,647.63x = 65,500.14 × 23,940
  4. Step 4: Simplify right side
    43,647.63x = 1,568,073,351.60
  5. Step 5: Solve for x
    x = 1,568,073,351.60/43,647.63
  6. Step 6: Final answer
    x = 35,925.74

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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.