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Finding the Fourth Proportional to 41,978.22, 57,911.67 and 25,201.50

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Solution

The fourth proportional to 41,978.22, 57,911.67 and 25,201.50 is: 34,767.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,978.22 : 57,911.67 = 25,201.50 : x
  2. Step 2: Convert to fraction form
    41,978.22/57,911.67 = 25,201.50/x
  3. Step 3: Cross multiply
    41,978.22x = 57,911.67 × 25,201.50
  4. Step 4: Simplify right side
    41,978.22x = 1,459,460,951.51
  5. Step 5: Solve for x
    x = 1,459,460,951.51/41,978.22
  6. Step 6: Final answer
    x = 34,767.10

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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.