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Finding the Fourth Proportional to 82,405.80, 123,608.70 and 20,076.30

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Solution

The fourth proportional to 82,405.80, 123,608.70 and 20,076.30 is: 30,114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,405.80 : 123,608.70 = 20,076.30 : x
  2. Step 2: Convert to fraction form
    82,405.80/123,608.70 = 20,076.30/x
  3. Step 3: Cross multiply
    82,405.80x = 123,608.70 × 20,076.30
  4. Step 4: Simplify right side
    82,405.80x = 2,481,605,343.81
  5. Step 5: Solve for x
    x = 2,481,605,343.81/82,405.80
  6. Step 6: Final answer
    x = 30,114.45

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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.