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Finding the Fourth Proportional to 55,644.32, 83,408.16 and 20,561.60

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Solution

The fourth proportional to 55,644.32, 83,408.16 and 20,561.60 is: 30,820.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,644.32 : 83,408.16 = 20,561.60 : x
  2. Step 2: Convert to fraction form
    55,644.32/83,408.16 = 20,561.60/x
  3. Step 3: Cross multiply
    55,644.32x = 83,408.16 × 20,561.60
  4. Step 4: Simplify right side
    55,644.32x = 1,715,005,222.66
  5. Step 5: Solve for x
    x = 1,715,005,222.66/55,644.32
  6. Step 6: Final answer
    x = 30,820.85

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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.