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Finding the Fourth Proportional to 41,488.54, 57,302 and 30,208.48

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Solution

The fourth proportional to 41,488.54, 57,302 and 30,208.48 is: 41,722.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,488.54 : 57,302 = 30,208.48 : x
  2. Step 2: Convert to fraction form
    41,488.54/57,302 = 30,208.48/x
  3. Step 3: Cross multiply
    41,488.54x = 57,302 × 30,208.48
  4. Step 4: Simplify right side
    41,488.54x = 1,731,006,320.96
  5. Step 5: Solve for x
    x = 1,731,006,320.96/41,488.54
  6. Step 6: Final answer
    x = 41,722.52

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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.