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Finding the Fourth Proportional to 32,450.86, 48,666.57 and 11,669.50

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Solution

The fourth proportional to 32,450.86, 48,666.57 and 11,669.50 is: 17,500.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,450.86 : 48,666.57 = 11,669.50 : x
  2. Step 2: Convert to fraction form
    32,450.86/48,666.57 = 11,669.50/x
  3. Step 3: Cross multiply
    32,450.86x = 48,666.57 × 11,669.50
  4. Step 4: Simplify right side
    32,450.86x = 567,914,538.62
  5. Step 5: Solve for x
    x = 567,914,538.62/32,450.86
  6. Step 6: Final answer
    x = 17,500.75

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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.