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Finding the Fourth Proportional to 38,494.94, 57,745.64 and 13,532.81

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Solution

The fourth proportional to 38,494.94, 57,745.64 and 13,532.81 is: 20,300.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,494.94 : 57,745.64 = 13,532.81 : x
  2. Step 2: Convert to fraction form
    38,494.94/57,745.64 = 13,532.81/x
  3. Step 3: Cross multiply
    38,494.94x = 57,745.64 × 13,532.81
  4. Step 4: Simplify right side
    38,494.94x = 781,460,519.55
  5. Step 5: Solve for x
    x = 781,460,519.55/38,494.94
  6. Step 6: Final answer
    x = 20,300.35

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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.