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Finding the Fourth Proportional to 30,989.93, 46,458.77 and 13,446.54

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Solution

The fourth proportional to 30,989.93, 46,458.77 and 13,446.54 is: 20,158.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,989.93 : 46,458.77 = 13,446.54 : x
  2. Step 2: Convert to fraction form
    30,989.93/46,458.77 = 13,446.54/x
  3. Step 3: Cross multiply
    30,989.93x = 46,458.77 × 13,446.54
  4. Step 4: Simplify right side
    30,989.93x = 624,709,641.92
  5. Step 5: Solve for x
    x = 624,709,641.92/30,989.93
  6. Step 6: Final answer
    x = 20,158.48

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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.