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Finding the Fourth Proportional to 38,328.81, 57,493.74 and 12,033.56

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Solution

The fourth proportional to 38,328.81, 57,493.74 and 12,033.56 is: 18,050.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,328.81 : 57,493.74 = 12,033.56 : x
  2. Step 2: Convert to fraction form
    38,328.81/57,493.74 = 12,033.56/x
  3. Step 3: Cross multiply
    38,328.81x = 57,493.74 × 12,033.56
  4. Step 4: Simplify right side
    38,328.81x = 691,854,369.91
  5. Step 5: Solve for x
    x = 691,854,369.91/38,328.81
  6. Step 6: Final answer
    x = 18,050.50

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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.