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Finding the Fourth Proportional to 32,096.86, 48,135.48 and 11,315.50

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Solution

The fourth proportional to 32,096.86, 48,135.48 and 11,315.50 is: 16,969.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,096.86 : 48,135.48 = 11,315.50 : x
  2. Step 2: Convert to fraction form
    32,096.86/48,135.48 = 11,315.50/x
  3. Step 3: Cross multiply
    32,096.86x = 48,135.48 × 11,315.50
  4. Step 4: Simplify right side
    32,096.86x = 544,677,023.94
  5. Step 5: Solve for x
    x = 544,677,023.94/32,096.86
  6. Step 6: Final answer
    x = 16,969.79

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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.