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Finding the Fourth Proportional to 43,145.50, 64,718.25 and 11,980.75

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Solution

The fourth proportional to 43,145.50, 64,718.25 and 11,980.75 is: 17,971.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,145.50 : 64,718.25 = 11,980.75 : x
  2. Step 2: Convert to fraction form
    43,145.50/64,718.25 = 11,980.75/x
  3. Step 3: Cross multiply
    43,145.50x = 64,718.25 × 11,980.75
  4. Step 4: Simplify right side
    43,145.50x = 775,373,173.69
  5. Step 5: Solve for x
    x = 775,373,173.69/43,145.50
  6. Step 6: Final answer
    x = 17,971.13

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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.