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Finding the Fourth Proportional to 30,831.62, 46,233 and 11,107.58

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Solution

The fourth proportional to 30,831.62, 46,233 and 11,107.58 is: 16,656.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,831.62 : 46,233 = 11,107.58 : x
  2. Step 2: Convert to fraction form
    30,831.62/46,233 = 11,107.58/x
  3. Step 3: Cross multiply
    30,831.62x = 46,233 × 11,107.58
  4. Step 4: Simplify right side
    30,831.62x = 513,536,514.98
  5. Step 5: Solve for x
    x = 513,536,514.98/30,831.62
  6. Step 6: Final answer
    x = 16,656.17

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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.