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Finding the Fourth Proportional to 81,683.60, 122,525.40 and 40,211.60

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Solution

The fourth proportional to 81,683.60, 122,525.40 and 40,211.60 is: 60,317.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,683.60 : 122,525.40 = 40,211.60 : x
  2. Step 2: Convert to fraction form
    81,683.60/122,525.40 = 40,211.60/x
  3. Step 3: Cross multiply
    81,683.60x = 122,525.40 × 40,211.60
  4. Step 4: Simplify right side
    81,683.60x = 4,926,942,374.64
  5. Step 5: Solve for x
    x = 4,926,942,374.64/81,683.60
  6. Step 6: Final answer
    x = 60,317.40

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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.