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Finding the Fourth Proportional to 82,466.40, 123,627.60 and 56,085.60

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Solution

The fourth proportional to 82,466.40, 123,627.60 and 56,085.60 is: 84,079.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,466.40 : 123,627.60 = 56,085.60 : x
  2. Step 2: Convert to fraction form
    82,466.40/123,627.60 = 56,085.60/x
  3. Step 3: Cross multiply
    82,466.40x = 123,627.60 × 56,085.60
  4. Step 4: Simplify right side
    82,466.40x = 6,933,728,122.56
  5. Step 5: Solve for x
    x = 6,933,728,122.56/82,466.40
  6. Step 6: Final answer
    x = 84,079.43

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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.