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Finding the Fourth Proportional to 37,885.30, 56,828.07 and 11,589.94

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Solution

The fourth proportional to 37,885.30, 56,828.07 and 11,589.94 is: 17,384.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,885.30 : 56,828.07 = 11,589.94 : x
  2. Step 2: Convert to fraction form
    37,885.30/56,828.07 = 11,589.94/x
  3. Step 3: Cross multiply
    37,885.30x = 56,828.07 × 11,589.94
  4. Step 4: Simplify right side
    37,885.30x = 658,633,921.62
  5. Step 5: Solve for x
    x = 658,633,921.62/37,885.30
  6. Step 6: Final answer
    x = 17,384.95

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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.