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Finding the Fourth Proportional to 37,597, 56,399.31 and 13,910.80

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Solution

The fourth proportional to 37,597, 56,399.31 and 13,910.80 is: 20,867.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,597 : 56,399.31 = 13,910.80 : x
  2. Step 2: Convert to fraction form
    37,597/56,399.31 = 13,910.80/x
  3. Step 3: Cross multiply
    37,597x = 56,399.31 × 13,910.80
  4. Step 4: Simplify right side
    37,597x = 784,559,521.55
  5. Step 5: Solve for x
    x = 784,559,521.55/37,597
  6. Step 6: Final answer
    x = 20,867.61

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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.