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Finding the Fourth Proportional to 36,823.57, 50,823.11 and 21,715.31

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Solution

The fourth proportional to 36,823.57, 50,823.11 and 21,715.31 is: 29,971.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,823.57 : 50,823.11 = 21,715.31 : x
  2. Step 2: Convert to fraction form
    36,823.57/50,823.11 = 21,715.31/x
  3. Step 3: Cross multiply
    36,823.57x = 50,823.11 × 21,715.31
  4. Step 4: Simplify right side
    36,823.57x = 1,103,639,770.16
  5. Step 5: Solve for x
    x = 1,103,639,770.16/36,823.57
  6. Step 6: Final answer
    x = 29,971.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.