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Finding the Fourth Proportional to 30,771.39, 46,157.45 and 8,583.42

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Solution

The fourth proportional to 30,771.39, 46,157.45 and 8,583.42 is: 12,875.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,771.39 : 46,157.45 = 8,583.42 : x
  2. Step 2: Convert to fraction form
    30,771.39/46,157.45 = 8,583.42/x
  3. Step 3: Cross multiply
    30,771.39x = 46,157.45 × 8,583.42
  4. Step 4: Simplify right side
    30,771.39x = 396,188,779.48
  5. Step 5: Solve for x
    x = 396,188,779.48/30,771.39
  6. Step 6: Final answer
    x = 12,875.23

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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.