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Finding the Fourth Proportional to 39,663, 54,736.56 and 22,896

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Solution

The fourth proportional to 39,663, 54,736.56 and 22,896 is: 31,597.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,663 : 54,736.56 = 22,896 : x
  2. Step 2: Convert to fraction form
    39,663/54,736.56 = 22,896/x
  3. Step 3: Cross multiply
    39,663x = 54,736.56 × 22,896
  4. Step 4: Simplify right side
    39,663x = 1,253,248,277.76
  5. Step 5: Solve for x
    x = 1,253,248,277.76/39,663
  6. Step 6: Final answer
    x = 31,597.42

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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.