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Finding the Fourth Proportional to 30,831.98, 46,249.27 and 9,771.56

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Solution

The fourth proportional to 30,831.98, 46,249.27 and 9,771.56 is: 14,657.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,831.98 : 46,249.27 = 9,771.56 : x
  2. Step 2: Convert to fraction form
    30,831.98/46,249.27 = 9,771.56/x
  3. Step 3: Cross multiply
    30,831.98x = 46,249.27 × 9,771.56
  4. Step 4: Simplify right side
    30,831.98x = 451,927,607.96
  5. Step 5: Solve for x
    x = 451,927,607.96/30,831.98
  6. Step 6: Final answer
    x = 14,657.75

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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.