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Finding the Fourth Proportional to 50,409.64, 75,643.74 and 27,922.60

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Solution

The fourth proportional to 50,409.64, 75,643.74 and 27,922.60 is: 41,900.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,409.64 : 75,643.74 = 27,922.60 : x
  2. Step 2: Convert to fraction form
    50,409.64/75,643.74 = 27,922.60/x
  3. Step 3: Cross multiply
    50,409.64x = 75,643.74 × 27,922.60
  4. Step 4: Simplify right side
    50,409.64x = 2,112,169,894.52
  5. Step 5: Solve for x
    x = 2,112,169,894.52/50,409.64
  6. Step 6: Final answer
    x = 41,900.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.