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Finding the Fourth Proportional to 41,846.83, 57,748.43 and 22,726.45

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Solution

The fourth proportional to 41,846.83, 57,748.43 and 22,726.45 is: 31,362.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,846.83 : 57,748.43 = 22,726.45 : x
  2. Step 2: Convert to fraction form
    41,846.83/57,748.43 = 22,726.45/x
  3. Step 3: Cross multiply
    41,846.83x = 57,748.43 × 22,726.45
  4. Step 4: Simplify right side
    41,846.83x = 1,312,416,806.97
  5. Step 5: Solve for x
    x = 1,312,416,806.97/41,846.83
  6. Step 6: Final answer
    x = 31,362.39

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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.