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Finding the Fourth Proportional to 34,262.36, 51,396.78 and 13,481

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Solution

The fourth proportional to 34,262.36, 51,396.78 and 13,481 is: 20,222.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,262.36 : 51,396.78 = 13,481 : x
  2. Step 2: Convert to fraction form
    34,262.36/51,396.78 = 13,481/x
  3. Step 3: Cross multiply
    34,262.36x = 51,396.78 × 13,481
  4. Step 4: Simplify right side
    34,262.36x = 692,879,991.18
  5. Step 5: Solve for x
    x = 692,879,991.18/34,262.36
  6. Step 6: Final answer
    x = 20,222.77

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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.