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Finding the Fourth Proportional to 32,107.29, 48,147.38 and 9,621.15

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Solution

The fourth proportional to 32,107.29, 48,147.38 and 9,621.15 is: 14,427.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,107.29 : 48,147.38 = 9,621.15 : x
  2. Step 2: Convert to fraction form
    32,107.29/48,147.38 = 9,621.15/x
  3. Step 3: Cross multiply
    32,107.29x = 48,147.38 × 9,621.15
  4. Step 4: Simplify right side
    32,107.29x = 463,233,378.75
  5. Step 5: Solve for x
    x = 463,233,378.75/32,107.29
  6. Step 6: Final answer
    x = 14,427.67

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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.