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Finding the Fourth Proportional to 27,222.23, 40,831.87 and 8,500.11

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Solution

The fourth proportional to 27,222.23, 40,831.87 and 8,500.11 is: 12,749.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,222.23 : 40,831.87 = 8,500.11 : x
  2. Step 2: Convert to fraction form
    27,222.23/40,831.87 = 8,500.11/x
  3. Step 3: Cross multiply
    27,222.23x = 40,831.87 × 8,500.11
  4. Step 4: Simplify right side
    27,222.23x = 347,075,596.50
  5. Step 5: Solve for x
    x = 347,075,596.50/27,222.23
  6. Step 6: Final answer
    x = 12,749.71

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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.