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Finding the Fourth Proportional to 32,141.28, 48,214.24 and 9,951.84

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Solution

The fourth proportional to 32,141.28, 48,214.24 and 9,951.84 is: 14,928.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,141.28 : 48,214.24 = 9,951.84 : x
  2. Step 2: Convert to fraction form
    32,141.28/48,214.24 = 9,951.84/x
  3. Step 3: Cross multiply
    32,141.28x = 48,214.24 × 9,951.84
  4. Step 4: Simplify right side
    32,141.28x = 479,820,402.20
  5. Step 5: Solve for x
    x = 479,820,402.20/32,141.28
  6. Step 6: Final answer
    x = 14,928.48

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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.