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Finding the Fourth Proportional to 27,957.83, 41,922.23 and 8,233.79

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Solution

The fourth proportional to 27,957.83, 41,922.23 and 8,233.79 is: 12,346.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,957.83 : 41,922.23 = 8,233.79 : x
  2. Step 2: Convert to fraction form
    27,957.83/41,922.23 = 8,233.79/x
  3. Step 3: Cross multiply
    27,957.83x = 41,922.23 × 8,233.79
  4. Step 4: Simplify right side
    27,957.83x = 345,178,587.37
  5. Step 5: Solve for x
    x = 345,178,587.37/27,957.83
  6. Step 6: Final answer
    x = 12,346.40

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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.