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Finding the Fourth Proportional to 33,888, 46,768 and 18,984.96

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Solution

The fourth proportional to 33,888, 46,768 and 18,984.96 is: 26,200.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,888 : 46,768 = 18,984.96 : x
  2. Step 2: Convert to fraction form
    33,888/46,768 = 18,984.96/x
  3. Step 3: Cross multiply
    33,888x = 46,768 × 18,984.96
  4. Step 4: Simplify right side
    33,888x = 887,888,609.28
  5. Step 5: Solve for x
    x = 887,888,609.28/33,888
  6. Step 6: Final answer
    x = 26,200.68

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Why These Related Problems?

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