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Finding the Fourth Proportional to 37,909, 56,885.64 and 17,132.50

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Solution

The fourth proportional to 37,909, 56,885.64 and 17,132.50 is: 25,708.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,909 : 56,885.64 = 17,132.50 : x
  2. Step 2: Convert to fraction form
    37,909/56,885.64 = 17,132.50/x
  3. Step 3: Cross multiply
    37,909x = 56,885.64 × 17,132.50
  4. Step 4: Simplify right side
    37,909x = 974,593,227.30
  5. Step 5: Solve for x
    x = 974,593,227.30/37,909
  6. Step 6: Final answer
    x = 25,708.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.