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Finding the Fourth Proportional to 70,489.18, 105,674.46 and 33,029.50

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Solution

The fourth proportional to 70,489.18, 105,674.46 and 33,029.50 is: 49,516.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,489.18 : 105,674.46 = 33,029.50 : x
  2. Step 2: Convert to fraction form
    70,489.18/105,674.46 = 33,029.50/x
  3. Step 3: Cross multiply
    70,489.18x = 105,674.46 × 33,029.50
  4. Step 4: Simplify right side
    70,489.18x = 3,490,374,576.57
  5. Step 5: Solve for x
    x = 3,490,374,576.57/70,489.18
  6. Step 6: Final answer
    x = 49,516.46

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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.