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Finding the Fourth Proportional to 50,072, 69,080.28 and 33,084.32

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Solution

The fourth proportional to 50,072, 69,080.28 and 33,084.32 is: 45,643.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,072 : 69,080.28 = 33,084.32 : x
  2. Step 2: Convert to fraction form
    50,072/69,080.28 = 33,084.32/x
  3. Step 3: Cross multiply
    50,072x = 69,080.28 × 33,084.32
  4. Step 4: Simplify right side
    50,072x = 2,285,474,089.21
  5. Step 5: Solve for x
    x = 2,285,474,089.21/50,072
  6. Step 6: Final answer
    x = 45,643.75

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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.