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Finding the Fourth Proportional to 98,576.70, 147,811.05 and 48,546.78

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Solution

The fourth proportional to 98,576.70, 147,811.05 and 48,546.78 is: 72,793.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,576.70 : 147,811.05 = 48,546.78 : x
  2. Step 2: Convert to fraction form
    98,576.70/147,811.05 = 48,546.78/x
  3. Step 3: Cross multiply
    98,576.70x = 147,811.05 × 48,546.78
  4. Step 4: Simplify right side
    98,576.70x = 7,175,750,525.92
  5. Step 5: Solve for x
    x = 7,175,750,525.92/98,576.70
  6. Step 6: Final answer
    x = 72,793.58

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Why These Related Problems?

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