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Finding the Fourth Proportional to 32,553.45, 48,830.00 and 13,830.59

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Solution

The fourth proportional to 32,553.45, 48,830.00 and 13,830.59 is: 20,745.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,553.45 : 48,830.00 = 13,830.59 : x
  2. Step 2: Convert to fraction form
    32,553.45/48,830.00 = 13,830.59/x
  3. Step 3: Cross multiply
    32,553.45x = 48,830.00 × 13,830.59
  4. Step 4: Simplify right side
    32,553.45x = 675,347,762.62
  5. Step 5: Solve for x
    x = 675,347,762.62/32,553.45
  6. Step 6: Final answer
    x = 20,745.81

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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.