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Finding the Fourth Proportional to 37,885.34, 56,828.01 and 11,589.86

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Solution

The fourth proportional to 37,885.34, 56,828.01 and 11,589.86 is: 17,384.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,885.34 : 56,828.01 = 11,589.86 : x
  2. Step 2: Convert to fraction form
    37,885.34/56,828.01 = 11,589.86/x
  3. Step 3: Cross multiply
    37,885.34x = 56,828.01 × 11,589.86
  4. Step 4: Simplify right side
    37,885.34x = 658,628,395.84
  5. Step 5: Solve for x
    x = 658,628,395.84/37,885.34
  6. Step 6: Final answer
    x = 17,384.78

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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.