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Finding the Fourth Proportional to 98,846.44, 148,271.46 and 35,671.30

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Solution

The fourth proportional to 98,846.44, 148,271.46 and 35,671.30 is: 53,507.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,846.44 : 148,271.46 = 35,671.30 : x
  2. Step 2: Convert to fraction form
    98,846.44/148,271.46 = 35,671.30/x
  3. Step 3: Cross multiply
    98,846.44x = 148,271.46 × 35,671.30
  4. Step 4: Simplify right side
    98,846.44x = 5,289,035,731.10
  5. Step 5: Solve for x
    x = 5,289,035,731.10/98,846.44
  6. Step 6: Final answer
    x = 53,507.60

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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.