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Finding the Fourth Proportional to 55,231.76, 82,860.78 and 17,795.36

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Solution

The fourth proportional to 55,231.76, 82,860.78 and 17,795.36 is: 26,697.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,231.76 : 82,860.78 = 17,795.36 : x
  2. Step 2: Convert to fraction form
    55,231.76/82,860.78 = 17,795.36/x
  3. Step 3: Cross multiply
    55,231.76x = 82,860.78 × 17,795.36
  4. Step 4: Simplify right side
    55,231.76x = 1,474,537,409.98
  5. Step 5: Solve for x
    x = 1,474,537,409.98/55,231.76
  6. Step 6: Final answer
    x = 26,697.27

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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.