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Finding the Fourth Proportional to 55,197.20, 82,795.80 and 49,494.80

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Solution

The fourth proportional to 55,197.20, 82,795.80 and 49,494.80 is: 74,242.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,197.20 : 82,795.80 = 49,494.80 : x
  2. Step 2: Convert to fraction form
    55,197.20/82,795.80 = 49,494.80/x
  3. Step 3: Cross multiply
    55,197.20x = 82,795.80 × 49,494.80
  4. Step 4: Simplify right side
    55,197.20x = 4,097,961,561.84
  5. Step 5: Solve for x
    x = 4,097,961,561.84/55,197.20
  6. Step 6: Final answer
    x = 74,242.20

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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.