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Finding the Fourth Proportional to 50,014, 69,019.32 and 27,660.08

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Solution

The fourth proportional to 50,014, 69,019.32 and 27,660.08 is: 38,170.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,014 : 69,019.32 = 27,660.08 : x
  2. Step 2: Convert to fraction form
    50,014/69,019.32 = 27,660.08/x
  3. Step 3: Cross multiply
    50,014x = 69,019.32 × 27,660.08
  4. Step 4: Simplify right side
    50,014x = 1,909,079,912.75
  5. Step 5: Solve for x
    x = 1,909,079,912.75/50,014
  6. Step 6: Final answer
    x = 38,170.91

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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.