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Finding the Fourth Proportional to 85,644.12, 128,327.94 and 52,743

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Solution

The fourth proportional to 85,644.12, 128,327.94 and 52,743 is: 79,029.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,644.12 : 128,327.94 = 52,743 : x
  2. Step 2: Convert to fraction form
    85,644.12/128,327.94 = 52,743/x
  3. Step 3: Cross multiply
    85,644.12x = 128,327.94 × 52,743
  4. Step 4: Simplify right side
    85,644.12x = 6,768,400,539.42
  5. Step 5: Solve for x
    x = 6,768,400,539.42/85,644.12
  6. Step 6: Final answer
    x = 79,029.37

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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.