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Finding the Fourth Proportional to 30,567.64, 45,853.32 and 8,380.12

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Solution

The fourth proportional to 30,567.64, 45,853.32 and 8,380.12 is: 12,570.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,567.64 : 45,853.32 = 8,380.12 : x
  2. Step 2: Convert to fraction form
    30,567.64/45,853.32 = 8,380.12/x
  3. Step 3: Cross multiply
    30,567.64x = 45,853.32 × 8,380.12
  4. Step 4: Simplify right side
    30,567.64x = 384,256,324.00
  5. Step 5: Solve for x
    x = 384,256,324.00/30,567.64
  6. Step 6: Final answer
    x = 12,570.69

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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.