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Finding the Fourth Proportional to 30,933.41, 46,409.31 and 9,874.80

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Solution

The fourth proportional to 30,933.41, 46,409.31 and 9,874.80 is: 14,815.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,933.41 : 46,409.31 = 9,874.80 : x
  2. Step 2: Convert to fraction form
    30,933.41/46,409.31 = 9,874.80/x
  3. Step 3: Cross multiply
    30,933.41x = 46,409.31 × 9,874.80
  4. Step 4: Simplify right side
    30,933.41x = 458,282,654.39
  5. Step 5: Solve for x
    x = 458,282,654.39/30,933.41
  6. Step 6: Final answer
    x = 14,815.14

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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.