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Finding the Fourth Proportional to 33,323.60, 49,986.30 and 14,594

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Solution

The fourth proportional to 33,323.60, 49,986.30 and 14,594 is: 21,891.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,323.60 : 49,986.30 = 14,594 : x
  2. Step 2: Convert to fraction form
    33,323.60/49,986.30 = 14,594/x
  3. Step 3: Cross multiply
    33,323.60x = 49,986.30 × 14,594
  4. Step 4: Simplify right side
    33,323.60x = 729,500,062.20
  5. Step 5: Solve for x
    x = 729,500,062.20/33,323.60
  6. Step 6: Final answer
    x = 21,891.39

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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.