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Finding the Fourth Proportional to 50,348.48, 69,482.88 and 27,992

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Solution

The fourth proportional to 50,348.48, 69,482.88 and 27,992 is: 38,630.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,348.48 : 69,482.88 = 27,992 : x
  2. Step 2: Convert to fraction form
    50,348.48/69,482.88 = 27,992/x
  3. Step 3: Cross multiply
    50,348.48x = 69,482.88 × 27,992
  4. Step 4: Simplify right side
    50,348.48x = 1,944,964,776.96
  5. Step 5: Solve for x
    x = 1,944,964,776.96/50,348.48
  6. Step 6: Final answer
    x = 38,630.06

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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.