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Finding the Fourth Proportional to 38,169.64, 57,256.08 and 10,467.64

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Solution

The fourth proportional to 38,169.64, 57,256.08 and 10,467.64 is: 15,701.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,169.64 : 57,256.08 = 10,467.64 : x
  2. Step 2: Convert to fraction form
    38,169.64/57,256.08 = 10,467.64/x
  3. Step 3: Cross multiply
    38,169.64x = 57,256.08 × 10,467.64
  4. Step 4: Simplify right side
    38,169.64x = 599,336,033.25
  5. Step 5: Solve for x
    x = 599,336,033.25/38,169.64
  6. Step 6: Final answer
    x = 15,701.90

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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.