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Finding the Fourth Proportional to 32,023.50, 48,034.20 and 14,493.32

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Solution

The fourth proportional to 32,023.50, 48,034.20 and 14,493.32 is: 21,739.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,023.50 : 48,034.20 = 14,493.32 : x
  2. Step 2: Convert to fraction form
    32,023.50/48,034.20 = 14,493.32/x
  3. Step 3: Cross multiply
    32,023.50x = 48,034.20 × 14,493.32
  4. Step 4: Simplify right side
    32,023.50x = 696,174,791.37
  5. Step 5: Solve for x
    x = 696,174,791.37/32,023.50
  6. Step 6: Final answer
    x = 21,739.50

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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.