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Finding the Fourth Proportional to 32,027.96, 48,029.70 and 15,383.36

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Solution

The fourth proportional to 32,027.96, 48,029.70 and 15,383.36 is: 23,069.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,027.96 : 48,029.70 = 15,383.36 : x
  2. Step 2: Convert to fraction form
    32,027.96/48,029.70 = 15,383.36/x
  3. Step 3: Cross multiply
    32,027.96x = 48,029.70 × 15,383.36
  4. Step 4: Simplify right side
    32,027.96x = 738,858,165.79
  5. Step 5: Solve for x
    x = 738,858,165.79/32,027.96
  6. Step 6: Final answer
    x = 23,069.16

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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.