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Finding the Fourth Proportional to 66,965.48, 100,382.94 and 31,895.72

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Solution

The fourth proportional to 66,965.48, 100,382.94 and 31,895.72 is: 47,812.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,965.48 : 100,382.94 = 31,895.72 : x
  2. Step 2: Convert to fraction form
    66,965.48/100,382.94 = 31,895.72/x
  3. Step 3: Cross multiply
    66,965.48x = 100,382.94 × 31,895.72
  4. Step 4: Simplify right side
    66,965.48x = 3,201,786,147.02
  5. Step 5: Solve for x
    x = 3,201,786,147.02/66,965.48
  6. Step 6: Final answer
    x = 47,812.49

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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.