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Finding the Fourth Proportional to 98,343.37, 147,478.88 and 35,146.41

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Solution

The fourth proportional to 98,343.37, 147,478.88 and 35,146.41 is: 52,706.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,343.37 : 147,478.88 = 35,146.41 : x
  2. Step 2: Convert to fraction form
    98,343.37/147,478.88 = 35,146.41/x
  3. Step 3: Cross multiply
    98,343.37x = 147,478.88 × 35,146.41
  4. Step 4: Simplify right side
    98,343.37x = 5,183,352,519.94
  5. Step 5: Solve for x
    x = 5,183,352,519.94/98,343.37
  6. Step 6: Final answer
    x = 52,706.68

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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.