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Finding the Fourth Proportional to 57,745.56, 86,624 and 24,004.60

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Solution

The fourth proportional to 57,745.56, 86,624 and 24,004.60 is: 36,009.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,745.56 : 86,624 = 24,004.60 : x
  2. Step 2: Convert to fraction form
    57,745.56/86,624 = 24,004.60/x
  3. Step 3: Cross multiply
    57,745.56x = 86,624 × 24,004.60
  4. Step 4: Simplify right side
    57,745.56x = 2,079,374,470.40
  5. Step 5: Solve for x
    x = 2,079,374,470.40/57,745.56
  6. Step 6: Final answer
    x = 36,009.25

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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.