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Finding the Fourth Proportional to 82,878.40, 124,317.60 and 27,474.40

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Solution

The fourth proportional to 82,878.40, 124,317.60 and 27,474.40 is: 41,211.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,878.40 : 124,317.60 = 27,474.40 : x
  2. Step 2: Convert to fraction form
    82,878.40/124,317.60 = 27,474.40/x
  3. Step 3: Cross multiply
    82,878.40x = 124,317.60 × 27,474.40
  4. Step 4: Simplify right side
    82,878.40x = 3,415,551,469.44
  5. Step 5: Solve for x
    x = 3,415,551,469.44/82,878.40
  6. Step 6: Final answer
    x = 41,211.60

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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.