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Finding the Fourth Proportional to 43,462.38, 65,222.73 and 15,382.50

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Solution

The fourth proportional to 43,462.38, 65,222.73 and 15,382.50 is: 23,084.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,462.38 : 65,222.73 = 15,382.50 : x
  2. Step 2: Convert to fraction form
    43,462.38/65,222.73 = 15,382.50/x
  3. Step 3: Cross multiply
    43,462.38x = 65,222.73 × 15,382.50
  4. Step 4: Simplify right side
    43,462.38x = 1,003,288,644.23
  5. Step 5: Solve for x
    x = 1,003,288,644.23/43,462.38
  6. Step 6: Final answer
    x = 23,084.07

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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.