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Finding the Fourth Proportional to 30,933.81, 46,400.70 and 11,212.34

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Solution

The fourth proportional to 30,933.81, 46,400.70 and 11,212.34 is: 16,818.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,933.81 : 46,400.70 = 11,212.34 : x
  2. Step 2: Convert to fraction form
    30,933.81/46,400.70 = 11,212.34/x
  3. Step 3: Cross multiply
    30,933.81x = 46,400.70 × 11,212.34
  4. Step 4: Simplify right side
    30,933.81x = 520,260,192.63
  5. Step 5: Solve for x
    x = 520,260,192.63/30,933.81
  6. Step 6: Final answer
    x = 16,818.50

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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.