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Finding the Fourth Proportional to 43,648.63, 65,501.64 and 23,941

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Solution

The fourth proportional to 43,648.63, 65,501.64 and 23,941 is: 35,927.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,648.63 : 65,501.64 = 23,941 : x
  2. Step 2: Convert to fraction form
    43,648.63/65,501.64 = 23,941/x
  3. Step 3: Cross multiply
    43,648.63x = 65,501.64 × 23,941
  4. Step 4: Simplify right side
    43,648.63x = 1,568,174,763.24
  5. Step 5: Solve for x
    x = 1,568,174,763.24/43,648.63
  6. Step 6: Final answer
    x = 35,927.24

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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.