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Finding the Fourth Proportional to 49,740.48, 74,636.64 and 22,032

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Solution

The fourth proportional to 49,740.48, 74,636.64 and 22,032 is: 33,059.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,740.48 : 74,636.64 = 22,032 : x
  2. Step 2: Convert to fraction form
    49,740.48/74,636.64 = 22,032/x
  3. Step 3: Cross multiply
    49,740.48x = 74,636.64 × 22,032
  4. Step 4: Simplify right side
    49,740.48x = 1,644,394,452.48
  5. Step 5: Solve for x
    x = 1,644,394,452.48/49,740.48
  6. Step 6: Final answer
    x = 33,059.48

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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.