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Finding the Fourth Proportional to 33,030, 49,551.48 and 14,562

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Solution

The fourth proportional to 33,030, 49,551.48 and 14,562 is: 21,845.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,030 : 49,551.48 = 14,562 : x
  2. Step 2: Convert to fraction form
    33,030/49,551.48 = 14,562/x
  3. Step 3: Cross multiply
    33,030x = 49,551.48 × 14,562
  4. Step 4: Simplify right side
    33,030x = 721,568,651.76
  5. Step 5: Solve for x
    x = 721,568,651.76/33,030
  6. Step 6: Final answer
    x = 21,845.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.