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Finding the Fourth Proportional to 76,842.24, 106,043.12 and 43,308.24

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Solution

The fourth proportional to 76,842.24, 106,043.12 and 43,308.24 is: 59,765.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,842.24 : 106,043.12 = 43,308.24 : x
  2. Step 2: Convert to fraction form
    76,842.24/106,043.12 = 43,308.24/x
  3. Step 3: Cross multiply
    76,842.24x = 106,043.12 × 43,308.24
  4. Step 4: Simplify right side
    76,842.24x = 4,592,540,891.31
  5. Step 5: Solve for x
    x = 4,592,540,891.31/76,842.24
  6. Step 6: Final answer
    x = 59,765.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.