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Finding the Fourth Proportional to 76,212.37, 105,179.52 and 42,231.51

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Solution

The fourth proportional to 76,212.37, 105,179.52 and 42,231.51 is: 58,283.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,212.37 : 105,179.52 = 42,231.51 : x
  2. Step 2: Convert to fraction form
    76,212.37/105,179.52 = 42,231.51/x
  3. Step 3: Cross multiply
    76,212.37x = 105,179.52 × 42,231.51
  4. Step 4: Simplify right side
    76,212.37x = 4,441,890,109.04
  5. Step 5: Solve for x
    x = 4,441,890,109.04/76,212.37
  6. Step 6: Final answer
    x = 58,283.06

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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.