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Finding the Fourth Proportional to 30,831.80, 46,245.32 and 8,644

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Solution

The fourth proportional to 30,831.80, 46,245.32 and 8,644 is: 12,965.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,831.80 : 46,245.32 = 8,644 : x
  2. Step 2: Convert to fraction form
    30,831.80/46,245.32 = 8,644/x
  3. Step 3: Cross multiply
    30,831.80x = 46,245.32 × 8,644
  4. Step 4: Simplify right side
    30,831.80x = 399,744,546.08
  5. Step 5: Solve for x
    x = 399,744,546.08/30,831.80
  6. Step 6: Final answer
    x = 12,965.33

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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.