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Finding the Fourth Proportional to 82,023.80, 122,968.20 and 37,048.10

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Solution

The fourth proportional to 82,023.80, 122,968.20 and 37,048.10 is: 55,541.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,023.80 : 122,968.20 = 37,048.10 : x
  2. Step 2: Convert to fraction form
    82,023.80/122,968.20 = 37,048.10/x
  3. Step 3: Cross multiply
    82,023.80x = 122,968.20 × 37,048.10
  4. Step 4: Simplify right side
    82,023.80x = 4,555,738,170.42
  5. Step 5: Solve for x
    x = 4,555,738,170.42/82,023.80
  6. Step 6: Final answer
    x = 55,541.66

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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.