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Finding the Fourth Proportional to 50,209.88, 69,289.63 and 27,853.88

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Solution

The fourth proportional to 50,209.88, 69,289.63 and 27,853.88 is: 38,438.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,209.88 : 69,289.63 = 27,853.88 : x
  2. Step 2: Convert to fraction form
    50,209.88/69,289.63 = 27,853.88/x
  3. Step 3: Cross multiply
    50,209.88x = 69,289.63 × 27,853.88
  4. Step 4: Simplify right side
    50,209.88x = 1,929,984,623.18
  5. Step 5: Solve for x
    x = 1,929,984,623.18/50,209.88
  6. Step 6: Final answer
    x = 38,438.35

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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.