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Finding the Fourth Proportional to 69,978.40, 104,967.60 and 41,984.80

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Solution

The fourth proportional to 69,978.40, 104,967.60 and 41,984.80 is: 62,977.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,978.40 : 104,967.60 = 41,984.80 : x
  2. Step 2: Convert to fraction form
    69,978.40/104,967.60 = 41,984.80/x
  3. Step 3: Cross multiply
    69,978.40x = 104,967.60 × 41,984.80
  4. Step 4: Simplify right side
    69,978.40x = 4,407,043,692.48
  5. Step 5: Solve for x
    x = 4,407,043,692.48/69,978.40
  6. Step 6: Final answer
    x = 62,977.20

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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.