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Finding the Fourth Proportional to 53,722.42, 80,583.62 and 20,434.80

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Solution

The fourth proportional to 53,722.42, 80,583.62 and 20,434.80 is: 30,652.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,722.42 : 80,583.62 = 20,434.80 : x
  2. Step 2: Convert to fraction form
    53,722.42/80,583.62 = 20,434.80/x
  3. Step 3: Cross multiply
    53,722.42x = 80,583.62 × 20,434.80
  4. Step 4: Simplify right side
    53,722.42x = 1,646,710,157.98
  5. Step 5: Solve for x
    x = 1,646,710,157.98/53,722.42
  6. Step 6: Final answer
    x = 30,652.20

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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.