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Finding the Fourth Proportional to 53,431.40, 80,175.90 and 22,269.80

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Solution

The fourth proportional to 53,431.40, 80,175.90 and 22,269.80 is: 33,416.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,431.40 : 80,175.90 = 22,269.80 : x
  2. Step 2: Convert to fraction form
    53,431.40/80,175.90 = 22,269.80/x
  3. Step 3: Cross multiply
    53,431.40x = 80,175.90 × 22,269.80
  4. Step 4: Simplify right side
    53,431.40x = 1,785,501,257.82
  5. Step 5: Solve for x
    x = 1,785,501,257.82/53,431.40
  6. Step 6: Final answer
    x = 33,416.70

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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.