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Finding the Fourth Proportional to 50,232.84, 69,323.49 and 30,093

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Solution

The fourth proportional to 50,232.84, 69,323.49 and 30,093 is: 41,529.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,232.84 : 69,323.49 = 30,093 : x
  2. Step 2: Convert to fraction form
    50,232.84/69,323.49 = 30,093/x
  3. Step 3: Cross multiply
    50,232.84x = 69,323.49 × 30,093
  4. Step 4: Simplify right side
    50,232.84x = 2,086,151,784.57
  5. Step 5: Solve for x
    x = 2,086,151,784.57/50,232.84
  6. Step 6: Final answer
    x = 41,529.64

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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.