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Finding the Fourth Proportional to 76,093.50, 105,009.39 and 42,559.50

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Solution

The fourth proportional to 76,093.50, 105,009.39 and 42,559.50 is: 58,732.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,093.50 : 105,009.39 = 42,559.50 : x
  2. Step 2: Convert to fraction form
    76,093.50/105,009.39 = 42,559.50/x
  3. Step 3: Cross multiply
    76,093.50x = 105,009.39 × 42,559.50
  4. Step 4: Simplify right side
    76,093.50x = 4,469,147,133.71
  5. Step 5: Solve for x
    x = 4,469,147,133.71/76,093.50
  6. Step 6: Final answer
    x = 58,732.31

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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.