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Finding the Fourth Proportional to 27,800.34, 41,701.67 and 8,078.90

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Solution

The fourth proportional to 27,800.34, 41,701.67 and 8,078.90 is: 12,118.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,800.34 : 41,701.67 = 8,078.90 : x
  2. Step 2: Convert to fraction form
    27,800.34/41,701.67 = 8,078.90/x
  3. Step 3: Cross multiply
    27,800.34x = 41,701.67 × 8,078.90
  4. Step 4: Simplify right side
    27,800.34x = 336,903,621.76
  5. Step 5: Solve for x
    x = 336,903,621.76/27,800.34
  6. Step 6: Final answer
    x = 12,118.69

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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.