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Finding the Fourth Proportional to 32,383.64, 48,577.20 and 10,198.75

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Solution

The fourth proportional to 32,383.64, 48,577.20 and 10,198.75 is: 15,298.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,383.64 : 48,577.20 = 10,198.75 : x
  2. Step 2: Convert to fraction form
    32,383.64/48,577.20 = 10,198.75/x
  3. Step 3: Cross multiply
    32,383.64x = 48,577.20 × 10,198.75
  4. Step 4: Simplify right side
    32,383.64x = 495,426,498.09
  5. Step 5: Solve for x
    x = 495,426,498.09/32,383.64
  6. Step 6: Final answer
    x = 15,298.67

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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.