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Finding the Fourth Proportional to 41,978.04, 57,929.76 and 23,115.24

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Solution

The fourth proportional to 41,978.04, 57,929.76 and 23,115.24 is: 31,899.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,978.04 : 57,929.76 = 23,115.24 : x
  2. Step 2: Convert to fraction form
    41,978.04/57,929.76 = 23,115.24/x
  3. Step 3: Cross multiply
    41,978.04x = 57,929.76 × 23,115.24
  4. Step 4: Simplify right side
    41,978.04x = 1,339,060,305.54
  5. Step 5: Solve for x
    x = 1,339,060,305.54/41,978.04
  6. Step 6: Final answer
    x = 31,899.07

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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.