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Finding the Fourth Proportional to 32,021.54, 48,032.22 and 8,647.94

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Solution

The fourth proportional to 32,021.54, 48,032.22 and 8,647.94 is: 12,971.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,021.54 : 48,032.22 = 8,647.94 : x
  2. Step 2: Convert to fraction form
    32,021.54/48,032.22 = 8,647.94/x
  3. Step 3: Cross multiply
    32,021.54x = 48,032.22 × 8,647.94
  4. Step 4: Simplify right side
    32,021.54x = 415,379,756.63
  5. Step 5: Solve for x
    x = 415,379,756.63/32,021.54
  6. Step 6: Final answer
    x = 12,971.89

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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.