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Finding the Fourth Proportional to 82,858.20, 124,254.90 and 30,240.60

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Solution

The fourth proportional to 82,858.20, 124,254.90 and 30,240.60 is: 45,349.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,858.20 : 124,254.90 = 30,240.60 : x
  2. Step 2: Convert to fraction form
    82,858.20/124,254.90 = 30,240.60/x
  3. Step 3: Cross multiply
    82,858.20x = 124,254.90 × 30,240.60
  4. Step 4: Simplify right side
    82,858.20x = 3,757,542,728.94
  5. Step 5: Solve for x
    x = 3,757,542,728.94/82,858.20
  6. Step 6: Final answer
    x = 45,349.08

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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.