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Finding the Fourth Proportional to 32,022.30, 48,000.64 and 13,313.19

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Solution

The fourth proportional to 32,022.30, 48,000.64 and 13,313.19 is: 19,956.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,022.30 : 48,000.64 = 13,313.19 : x
  2. Step 2: Convert to fraction form
    32,022.30/48,000.64 = 13,313.19/x
  3. Step 3: Cross multiply
    32,022.30x = 48,000.64 × 13,313.19
  4. Step 4: Simplify right side
    32,022.30x = 639,041,640.44
  5. Step 5: Solve for x
    x = 639,041,640.44/32,022.30
  6. Step 6: Final answer
    x = 19,956.14

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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.