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Finding the Fourth Proportional to 39,652.96, 59,464.32 and 13,350.64

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Solution

The fourth proportional to 39,652.96, 59,464.32 and 13,350.64 is: 20,020.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,652.96 : 59,464.32 = 13,350.64 : x
  2. Step 2: Convert to fraction form
    39,652.96/59,464.32 = 13,350.64/x
  3. Step 3: Cross multiply
    39,652.96x = 59,464.32 × 13,350.64
  4. Step 4: Simplify right side
    39,652.96x = 793,886,729.16
  5. Step 5: Solve for x
    x = 793,886,729.16/39,652.96
  6. Step 6: Final answer
    x = 20,020.87

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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.