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Finding the Fourth Proportional to 32,508.81, 48,771.41 and 9,135.24

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Solution

The fourth proportional to 32,508.81, 48,771.41 and 9,135.24 is: 13,705.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,508.81 : 48,771.41 = 9,135.24 : x
  2. Step 2: Convert to fraction form
    32,508.81/48,771.41 = 9,135.24/x
  3. Step 3: Cross multiply
    32,508.81x = 48,771.41 × 9,135.24
  4. Step 4: Simplify right side
    32,508.81x = 445,538,489.81
  5. Step 5: Solve for x
    x = 445,538,489.81/32,508.81
  6. Step 6: Final answer
    x = 13,705.16

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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.