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Finding the Fourth Proportional to 105,509.73, 158,280.24 and 30,630.50

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Solution

The fourth proportional to 105,509.73, 158,280.24 and 30,630.50 is: 45,950.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,509.73 : 158,280.24 = 30,630.50 : x
  2. Step 2: Convert to fraction form
    105,509.73/158,280.24 = 30,630.50/x
  3. Step 3: Cross multiply
    105,509.73x = 158,280.24 × 30,630.50
  4. Step 4: Simplify right side
    105,509.73x = 4,848,202,099.92
  5. Step 5: Solve for x
    x = 4,848,202,099.92/105,509.73
  6. Step 6: Final answer
    x = 45,950.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.