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Finding the Fourth Proportional to 33,488.96, 46,212.96 and 18,584

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Solution

The fourth proportional to 33,488.96, 46,212.96 and 18,584 is: 25,644.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,488.96 : 46,212.96 = 18,584 : x
  2. Step 2: Convert to fraction form
    33,488.96/46,212.96 = 18,584/x
  3. Step 3: Cross multiply
    33,488.96x = 46,212.96 × 18,584
  4. Step 4: Simplify right side
    33,488.96x = 858,821,648.64
  5. Step 5: Solve for x
    x = 858,821,648.64/33,488.96
  6. Step 6: Final answer
    x = 25,644.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.