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Finding the Fourth Proportional to 43,574.25, 65,372.31 and 12,409.50

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Solution

The fourth proportional to 43,574.25, 65,372.31 and 12,409.50 is: 18,617.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,574.25 : 65,372.31 = 12,409.50 : x
  2. Step 2: Convert to fraction form
    43,574.25/65,372.31 = 12,409.50/x
  3. Step 3: Cross multiply
    43,574.25x = 65,372.31 × 12,409.50
  4. Step 4: Simplify right side
    43,574.25x = 811,237,680.95
  5. Step 5: Solve for x
    x = 811,237,680.95/43,574.25
  6. Step 6: Final answer
    x = 18,617.36

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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.