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Finding the Fourth Proportional to 27,770.04, 41,656.68 and 8,048.16

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Solution

The fourth proportional to 27,770.04, 41,656.68 and 8,048.16 is: 12,072.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,770.04 : 41,656.68 = 8,048.16 : x
  2. Step 2: Convert to fraction form
    27,770.04/41,656.68 = 8,048.16/x
  3. Step 3: Cross multiply
    27,770.04x = 41,656.68 × 8,048.16
  4. Step 4: Simplify right side
    27,770.04x = 335,259,625.71
  5. Step 5: Solve for x
    x = 335,259,625.71/27,770.04
  6. Step 6: Final answer
    x = 12,072.71

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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.