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Finding the Fourth Proportional to 43,746.27, 65,629.86 and 14,164.14

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Solution

The fourth proportional to 43,746.27, 65,629.86 and 14,164.14 is: 21,249.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,746.27 : 65,629.86 = 14,164.14 : x
  2. Step 2: Convert to fraction form
    43,746.27/65,629.86 = 14,164.14/x
  3. Step 3: Cross multiply
    43,746.27x = 65,629.86 × 14,164.14
  4. Step 4: Simplify right side
    43,746.27x = 929,590,225.99
  5. Step 5: Solve for x
    x = 929,590,225.99/43,746.27
  6. Step 6: Final answer
    x = 21,249.59

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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.