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Finding the Fourth Proportional to 51,125, 70,573.62 and 33,896.84

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Solution

The fourth proportional to 51,125, 70,573.62 and 33,896.84 is: 46,791.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,125 : 70,573.62 = 33,896.84 : x
  2. Step 2: Convert to fraction form
    51,125/70,573.62 = 33,896.84/x
  3. Step 3: Cross multiply
    51,125x = 70,573.62 × 33,896.84
  4. Step 4: Simplify right side
    51,125x = 2,392,222,705.36
  5. Step 5: Solve for x
    x = 2,392,222,705.36/51,125
  6. Step 6: Final answer
    x = 46,791.64

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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.