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Finding the Fourth Proportional to 53,657.40, 80,497.62 and 16,214.52

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Solution

The fourth proportional to 53,657.40, 80,497.62 and 16,214.52 is: 24,325.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,657.40 : 80,497.62 = 16,214.52 : x
  2. Step 2: Convert to fraction form
    53,657.40/80,497.62 = 16,214.52/x
  3. Step 3: Cross multiply
    53,657.40x = 80,497.62 × 16,214.52
  4. Step 4: Simplify right side
    53,657.40x = 1,305,230,269.44
  5. Step 5: Solve for x
    x = 1,305,230,269.44/53,657.40
  6. Step 6: Final answer
    x = 24,325.26

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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.