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Finding the Fourth Proportional to 45,638.69, 62,940.47 and 38,007.24

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Solution

The fourth proportional to 45,638.69, 62,940.47 and 38,007.24 is: 52,415.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,638.69 : 62,940.47 = 38,007.24 : x
  2. Step 2: Convert to fraction form
    45,638.69/62,940.47 = 38,007.24/x
  3. Step 3: Cross multiply
    45,638.69x = 62,940.47 × 38,007.24
  4. Step 4: Simplify right side
    45,638.69x = 2,392,193,358.97
  5. Step 5: Solve for x
    x = 2,392,193,358.97/45,638.69
  6. Step 6: Final answer
    x = 52,415.91

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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.