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Finding the Fourth Proportional to 30,567.28, 45,847.85 and 8,382.89

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Solution

The fourth proportional to 30,567.28, 45,847.85 and 8,382.89 is: 12,573.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,567.28 : 45,847.85 = 8,382.89 : x
  2. Step 2: Convert to fraction form
    30,567.28/45,847.85 = 8,382.89/x
  3. Step 3: Cross multiply
    30,567.28x = 45,847.85 × 8,382.89
  4. Step 4: Simplify right side
    30,567.28x = 384,337,212.13
  5. Step 5: Solve for x
    x = 384,337,212.13/30,567.28
  6. Step 6: Final answer
    x = 12,573.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.