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Finding the Fourth Proportional to 69,228.93, 103,777.74 and 22,449

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Solution

The fourth proportional to 69,228.93, 103,777.74 and 22,449 is: 33,652.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,228.93 : 103,777.74 = 22,449 : x
  2. Step 2: Convert to fraction form
    69,228.93/103,777.74 = 22,449/x
  3. Step 3: Cross multiply
    69,228.93x = 103,777.74 × 22,449
  4. Step 4: Simplify right side
    69,228.93x = 2,329,706,485.26
  5. Step 5: Solve for x
    x = 2,329,706,485.26/69,228.93
  6. Step 6: Final answer
    x = 33,652.21

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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.