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Finding the Fourth Proportional to 43,785.96, 65,688.16 and 14,201.49

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Solution

The fourth proportional to 43,785.96, 65,688.16 and 14,201.49 is: 21,305.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,785.96 : 65,688.16 = 14,201.49 : x
  2. Step 2: Convert to fraction form
    43,785.96/65,688.16 = 14,201.49/x
  3. Step 3: Cross multiply
    43,785.96x = 65,688.16 × 14,201.49
  4. Step 4: Simplify right side
    43,785.96x = 932,869,747.36
  5. Step 5: Solve for x
    x = 932,869,747.36/43,785.96
  6. Step 6: Final answer
    x = 21,305.23

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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.