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Finding the Fourth Proportional to 32,134.16, 48,191.52 and 18,983

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Solution

The fourth proportional to 32,134.16, 48,191.52 and 18,983 is: 28,468.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,134.16 : 48,191.52 = 18,983 : x
  2. Step 2: Convert to fraction form
    32,134.16/48,191.52 = 18,983/x
  3. Step 3: Cross multiply
    32,134.16x = 48,191.52 × 18,983
  4. Step 4: Simplify right side
    32,134.16x = 914,819,624.16
  5. Step 5: Solve for x
    x = 914,819,624.16/32,134.16
  6. Step 6: Final answer
    x = 28,468.76

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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.