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Finding the Fourth Proportional to 30,993.18, 46,490.10 and 12,277.78

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Solution

The fourth proportional to 30,993.18, 46,490.10 and 12,277.78 is: 18,416.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,993.18 : 46,490.10 = 12,277.78 : x
  2. Step 2: Convert to fraction form
    30,993.18/46,490.10 = 12,277.78/x
  3. Step 3: Cross multiply
    30,993.18x = 46,490.10 × 12,277.78
  4. Step 4: Simplify right side
    30,993.18x = 570,795,126.77
  5. Step 5: Solve for x
    x = 570,795,126.77/30,993.18
  6. Step 6: Final answer
    x = 18,416.80

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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.