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Finding the Fourth Proportional to 30,616.08, 45,928.92 and 13,086

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Solution

The fourth proportional to 30,616.08, 45,928.92 and 13,086 is: 19,631.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,616.08 : 45,928.92 = 13,086 : x
  2. Step 2: Convert to fraction form
    30,616.08/45,928.92 = 13,086/x
  3. Step 3: Cross multiply
    30,616.08x = 45,928.92 × 13,086
  4. Step 4: Simplify right side
    30,616.08x = 601,025,847.12
  5. Step 5: Solve for x
    x = 601,025,847.12/30,616.08
  6. Step 6: Final answer
    x = 19,631.05

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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.