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Finding the Fourth Proportional to 33,884, 46,759.92 and 18,980.32

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Solution

The fourth proportional to 33,884, 46,759.92 and 18,980.32 is: 26,192.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,884 : 46,759.92 = 18,980.32 : x
  2. Step 2: Convert to fraction form
    33,884/46,759.92 = 18,980.32/x
  3. Step 3: Cross multiply
    33,884x = 46,759.92 × 18,980.32
  4. Step 4: Simplify right side
    33,884x = 887,518,244.77
  5. Step 5: Solve for x
    x = 887,518,244.77/33,884
  6. Step 6: Final answer
    x = 26,192.84

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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.