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Finding the Fourth Proportional to 39,476.25, 54,477.27 and 22,709.25

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Solution

The fourth proportional to 39,476.25, 54,477.27 and 22,709.25 is: 31,338.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,476.25 : 54,477.27 = 22,709.25 : x
  2. Step 2: Convert to fraction form
    39,476.25/54,477.27 = 22,709.25/x
  3. Step 3: Cross multiply
    39,476.25x = 54,477.27 × 22,709.25
  4. Step 4: Simplify right side
    39,476.25x = 1,237,137,943.75
  5. Step 5: Solve for x
    x = 1,237,137,943.75/39,476.25
  6. Step 6: Final answer
    x = 31,338.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.