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Finding the Fourth Proportional to 32,035.96, 48,076.62 and 11,261.08

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Solution

The fourth proportional to 32,035.96, 48,076.62 and 11,261.08 is: 16,899.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,035.96 : 48,076.62 = 11,261.08 : x
  2. Step 2: Convert to fraction form
    32,035.96/48,076.62 = 11,261.08/x
  3. Step 3: Cross multiply
    32,035.96x = 48,076.62 × 11,261.08
  4. Step 4: Simplify right side
    32,035.96x = 541,394,663.95
  5. Step 5: Solve for x
    x = 541,394,663.95/32,035.96
  6. Step 6: Final answer
    x = 16,899.59

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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.