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Finding the Fourth Proportional to 30,909.37, 46,364.16 and 8,722.87

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Solution

The fourth proportional to 30,909.37, 46,364.16 and 8,722.87 is: 13,084.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,909.37 : 46,364.16 = 8,722.87 : x
  2. Step 2: Convert to fraction form
    30,909.37/46,364.16 = 8,722.87/x
  3. Step 3: Cross multiply
    30,909.37x = 46,364.16 × 8,722.87
  4. Step 4: Simplify right side
    30,909.37x = 404,428,540.34
  5. Step 5: Solve for x
    x = 404,428,540.34/30,909.37
  6. Step 6: Final answer
    x = 13,084.33

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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.