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Finding the Fourth Proportional to 30,845.52, 46,278 and 13,323.60

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Solution

The fourth proportional to 30,845.52, 46,278 and 13,323.60 is: 19,989.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,845.52 : 46,278 = 13,323.60 : x
  2. Step 2: Convert to fraction form
    30,845.52/46,278 = 13,323.60/x
  3. Step 3: Cross multiply
    30,845.52x = 46,278 × 13,323.60
  4. Step 4: Simplify right side
    30,845.52x = 616,589,560.80
  5. Step 5: Solve for x
    x = 616,589,560.80/30,845.52
  6. Step 6: Final answer
    x = 19,989.60

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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.