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Finding the Fourth Proportional to 43,782.40, 65,683.20 and 14,195.20

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Solution

The fourth proportional to 43,782.40, 65,683.20 and 14,195.20 is: 21,295.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,782.40 : 65,683.20 = 14,195.20 : x
  2. Step 2: Convert to fraction form
    43,782.40/65,683.20 = 14,195.20/x
  3. Step 3: Cross multiply
    43,782.40x = 65,683.20 × 14,195.20
  4. Step 4: Simplify right side
    43,782.40x = 932,386,160.64
  5. Step 5: Solve for x
    x = 932,386,160.64/43,782.40
  6. Step 6: Final answer
    x = 21,295.91

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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.