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Finding the Fourth Proportional to 37,715.34, 52,056.52 and 21,809

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Solution

The fourth proportional to 37,715.34, 52,056.52 and 21,809 is: 30,101.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,715.34 : 52,056.52 = 21,809 : x
  2. Step 2: Convert to fraction form
    37,715.34/52,056.52 = 21,809/x
  3. Step 3: Cross multiply
    37,715.34x = 52,056.52 × 21,809
  4. Step 4: Simplify right side
    37,715.34x = 1,135,300,644.68
  5. Step 5: Solve for x
    x = 1,135,300,644.68/37,715.34
  6. Step 6: Final answer
    x = 30,101.83

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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.