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Finding the Fourth Proportional to 38,170.64, 57,257.58 and 10,468.64

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Solution

The fourth proportional to 38,170.64, 57,257.58 and 10,468.64 is: 15,703.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,170.64 : 57,257.58 = 10,468.64 : x
  2. Step 2: Convert to fraction form
    38,170.64/57,257.58 = 10,468.64/x
  3. Step 3: Cross multiply
    38,170.64x = 57,257.58 × 10,468.64
  4. Step 4: Simplify right side
    38,170.64x = 599,408,992.29
  5. Step 5: Solve for x
    x = 599,408,992.29/38,170.64
  6. Step 6: Final answer
    x = 15,703.40

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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.