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Finding the Fourth Proportional to 32,223.98, 48,338.27 and 13,485.14

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Solution

The fourth proportional to 32,223.98, 48,338.27 and 13,485.14 is: 20,228.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,223.98 : 48,338.27 = 13,485.14 : x
  2. Step 2: Convert to fraction form
    32,223.98/48,338.27 = 13,485.14/x
  3. Step 3: Cross multiply
    32,223.98x = 48,338.27 × 13,485.14
  4. Step 4: Simplify right side
    32,223.98x = 651,848,391.73
  5. Step 5: Solve for x
    x = 651,848,391.73/32,223.98
  6. Step 6: Final answer
    x = 20,228.68

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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.