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Finding the Fourth Proportional to 43,978.88, 65,968.56 and 14,396.48

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Solution

The fourth proportional to 43,978.88, 65,968.56 and 14,396.48 is: 21,594.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,978.88 : 65,968.56 = 14,396.48 : x
  2. Step 2: Convert to fraction form
    43,978.88/65,968.56 = 14,396.48/x
  3. Step 3: Cross multiply
    43,978.88x = 65,968.56 × 14,396.48
  4. Step 4: Simplify right side
    43,978.88x = 949,715,054.67
  5. Step 5: Solve for x
    x = 949,715,054.67/43,978.88
  6. Step 6: Final answer
    x = 21,594.80

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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.