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Finding the Fourth Proportional to 43,575.50, 65,374.16 and 12,410.75

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Solution

The fourth proportional to 43,575.50, 65,374.16 and 12,410.75 is: 18,619.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,575.50 : 65,374.16 = 12,410.75 : x
  2. Step 2: Convert to fraction form
    43,575.50/65,374.16 = 12,410.75/x
  3. Step 3: Cross multiply
    43,575.50x = 65,374.16 × 12,410.75
  4. Step 4: Simplify right side
    43,575.50x = 811,342,457.60
  5. Step 5: Solve for x
    x = 811,342,457.60/43,575.50
  6. Step 6: Final answer
    x = 18,619.23

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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.