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Finding the Fourth Proportional to 43,391.44, 65,103.36 and 17,114.50

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Solution

The fourth proportional to 43,391.44, 65,103.36 and 17,114.50 is: 25,678.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,391.44 : 65,103.36 = 17,114.50 : x
  2. Step 2: Convert to fraction form
    43,391.44/65,103.36 = 17,114.50/x
  3. Step 3: Cross multiply
    43,391.44x = 65,103.36 × 17,114.50
  4. Step 4: Simplify right side
    43,391.44x = 1,114,211,454.72
  5. Step 5: Solve for x
    x = 1,114,211,454.72/43,391.44
  6. Step 6: Final answer
    x = 25,678.14

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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.