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Finding the Fourth Proportional to 82,771.78, 114,222.90 and 48,323.11

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Solution

The fourth proportional to 82,771.78, 114,222.90 and 48,323.11 is: 66,684.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,771.78 : 114,222.90 = 48,323.11 : x
  2. Step 2: Convert to fraction form
    82,771.78/114,222.90 = 48,323.11/x
  3. Step 3: Cross multiply
    82,771.78x = 114,222.90 × 48,323.11
  4. Step 4: Simplify right side
    82,771.78x = 5,519,605,656.87
  5. Step 5: Solve for x
    x = 5,519,605,656.87/82,771.78
  6. Step 6: Final answer
    x = 66,684.63

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1.5x scale

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.