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Finding the Fourth Proportional to 33,844, 46,698.24 and 21,905.68

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Solution

The fourth proportional to 33,844, 46,698.24 and 21,905.68 is: 30,225.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,844 : 46,698.24 = 21,905.68 : x
  2. Step 2: Convert to fraction form
    33,844/46,698.24 = 21,905.68/x
  3. Step 3: Cross multiply
    33,844x = 46,698.24 × 21,905.68
  4. Step 4: Simplify right side
    33,844x = 1,022,956,702.00
  5. Step 5: Solve for x
    x = 1,022,956,702.00/33,844
  6. Step 6: Final answer
    x = 30,225.64

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1.5x scale

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.