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Finding the Fourth Proportional to 32,019.30, 48,026.07 and 11,241.54

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Solution

The fourth proportional to 32,019.30, 48,026.07 and 11,241.54 is: 16,861.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,019.30 : 48,026.07 = 11,241.54 : x
  2. Step 2: Convert to fraction form
    32,019.30/48,026.07 = 11,241.54/x
  3. Step 3: Cross multiply
    32,019.30x = 48,026.07 × 11,241.54
  4. Step 4: Simplify right side
    32,019.30x = 539,886,986.95
  5. Step 5: Solve for x
    x = 539,886,986.95/32,019.30
  6. Step 6: Final answer
    x = 16,861.30

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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.