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Finding the Fourth Proportional to 43,782.37, 65,667.41 and 14,200.46

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Solution

The fourth proportional to 43,782.37, 65,667.41 and 14,200.46 is: 21,298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,782.37 : 65,667.41 = 14,200.46 : x
  2. Step 2: Convert to fraction form
    43,782.37/65,667.41 = 14,200.46/x
  3. Step 3: Cross multiply
    43,782.37x = 65,667.41 × 14,200.46
  4. Step 4: Simplify right side
    43,782.37x = 932,507,698.55
  5. Step 5: Solve for x
    x = 932,507,698.55/43,782.37
  6. Step 6: Final answer
    x = 21,298.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.