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Finding the Fourth Proportional to 33,537, 46,269.27 and 20,112.60

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Solution

The fourth proportional to 33,537, 46,269.27 and 20,112.60 is: 27,748.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,537 : 46,269.27 = 20,112.60 : x
  2. Step 2: Convert to fraction form
    33,537/46,269.27 = 20,112.60/x
  3. Step 3: Cross multiply
    33,537x = 46,269.27 × 20,112.60
  4. Step 4: Simplify right side
    33,537x = 930,595,319.80
  5. Step 5: Solve for x
    x = 930,595,319.80/33,537
  6. Step 6: Final answer
    x = 27,748.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.