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Finding the Fourth Proportional to 33,856, 46,710.48 and 21,928.48

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Solution

The fourth proportional to 33,856, 46,710.48 and 21,928.48 is: 30,254.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,856 : 46,710.48 = 21,928.48 : x
  2. Step 2: Convert to fraction form
    33,856/46,710.48 = 21,928.48/x
  3. Step 3: Cross multiply
    33,856x = 46,710.48 × 21,928.48
  4. Step 4: Simplify right side
    33,856x = 1,024,289,826.47
  5. Step 5: Solve for x
    x = 1,024,289,826.47/33,856
  6. Step 6: Final answer
    x = 30,254.31

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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.