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Finding the Fourth Proportional to 49,240.80, 73,846.80 and 17,647.20

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Solution

The fourth proportional to 49,240.80, 73,846.80 and 17,647.20 is: 26,465.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,240.80 : 73,846.80 = 17,647.20 : x
  2. Step 2: Convert to fraction form
    49,240.80/73,846.80 = 17,647.20/x
  3. Step 3: Cross multiply
    49,240.80x = 73,846.80 × 17,647.20
  4. Step 4: Simplify right side
    49,240.80x = 1,303,189,248.96
  5. Step 5: Solve for x
    x = 1,303,189,248.96/49,240.80
  6. Step 6: Final answer
    x = 26,465.64

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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.