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Finding the Fourth Proportional to 43,779, 65,678.09 and 14,199.83

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Solution

The fourth proportional to 43,779, 65,678.09 and 14,199.83 is: 21,302.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,779 : 65,678.09 = 14,199.83 : x
  2. Step 2: Convert to fraction form
    43,779/65,678.09 = 14,199.83/x
  3. Step 3: Cross multiply
    43,779x = 65,678.09 × 14,199.83
  4. Step 4: Simplify right side
    43,779x = 932,617,313.34
  5. Step 5: Solve for x
    x = 932,617,313.34/43,779
  6. Step 6: Final answer
    x = 21,302.85

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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.