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Finding the Fourth Proportional to 30,942.84, 46,414.20 and 11,221.32

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Solution

The fourth proportional to 30,942.84, 46,414.20 and 11,221.32 is: 16,831.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,942.84 : 46,414.20 = 11,221.32 : x
  2. Step 2: Convert to fraction form
    30,942.84/46,414.20 = 11,221.32/x
  3. Step 3: Cross multiply
    30,942.84x = 46,414.20 × 11,221.32
  4. Step 4: Simplify right side
    30,942.84x = 520,828,590.74
  5. Step 5: Solve for x
    x = 520,828,590.74/30,942.84
  6. Step 6: Final answer
    x = 16,831.96

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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.