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Finding the Fourth Proportional to 32,134.32, 48,195 and 8,757.72

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Solution

The fourth proportional to 32,134.32, 48,195 and 8,757.72 is: 13,134.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,134.32 : 48,195 = 8,757.72 : x
  2. Step 2: Convert to fraction form
    32,134.32/48,195 = 8,757.72/x
  3. Step 3: Cross multiply
    32,134.32x = 48,195 × 8,757.72
  4. Step 4: Simplify right side
    32,134.32x = 422,078,315.40
  5. Step 5: Solve for x
    x = 422,078,315.40/32,134.32
  6. Step 6: Final answer
    x = 13,134.81

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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.