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Finding the Fourth Proportional to 82,830.40, 124,245.60 and 30,241.60

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Solution

The fourth proportional to 82,830.40, 124,245.60 and 30,241.60 is: 45,362.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,830.40 : 124,245.60 = 30,241.60 : x
  2. Step 2: Convert to fraction form
    82,830.40/124,245.60 = 30,241.60/x
  3. Step 3: Cross multiply
    82,830.40x = 124,245.60 × 30,241.60
  4. Step 4: Simplify right side
    82,830.40x = 3,757,385,736.96
  5. Step 5: Solve for x
    x = 3,757,385,736.96/82,830.40
  6. Step 6: Final answer
    x = 45,362.40

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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.