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Finding the Fourth Proportional to 43,823.80, 65,768.10 and 29,027.80

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Solution

The fourth proportional to 43,823.80, 65,768.10 and 29,027.80 is: 43,563.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,823.80 : 65,768.10 = 29,027.80 : x
  2. Step 2: Convert to fraction form
    43,823.80/65,768.10 = 29,027.80/x
  3. Step 3: Cross multiply
    43,823.80x = 65,768.10 × 29,027.80
  4. Step 4: Simplify right side
    43,823.80x = 1,909,103,253.18
  5. Step 5: Solve for x
    x = 1,909,103,253.18/43,823.80
  6. Step 6: Final answer
    x = 43,563.16

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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.