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Finding the Fourth Proportional to 70,047.50, 105,059.94 and 20,116.24

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Solution

The fourth proportional to 70,047.50, 105,059.94 and 20,116.24 is: 30,171.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,047.50 : 105,059.94 = 20,116.24 : x
  2. Step 2: Convert to fraction form
    70,047.50/105,059.94 = 20,116.24/x
  3. Step 3: Cross multiply
    70,047.50x = 105,059.94 × 20,116.24
  4. Step 4: Simplify right side
    70,047.50x = 2,113,410,629.34
  5. Step 5: Solve for x
    x = 2,113,410,629.34/70,047.50
  6. Step 6: Final answer
    x = 30,171.11

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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.