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Finding the Fourth Proportional to 43,746.30, 65,629.90 and 14,164.17

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Solution

The fourth proportional to 43,746.30, 65,629.90 and 14,164.17 is: 21,249.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,746.30 : 65,629.90 = 14,164.17 : x
  2. Step 2: Convert to fraction form
    43,746.30/65,629.90 = 14,164.17/x
  3. Step 3: Cross multiply
    43,746.30x = 65,629.90 × 14,164.17
  4. Step 4: Simplify right side
    43,746.30x = 929,593,060.68
  5. Step 5: Solve for x
    x = 929,593,060.68/43,746.30
  6. Step 6: Final answer
    x = 21,249.64

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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.