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Finding the Fourth Proportional to 41,886, 57,802.77 and 23,023.26

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Solution

The fourth proportional to 41,886, 57,802.77 and 23,023.26 is: 31,772.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,886 : 57,802.77 = 23,023.26 : x
  2. Step 2: Convert to fraction form
    41,886/57,802.77 = 23,023.26/x
  3. Step 3: Cross multiply
    41,886x = 57,802.77 × 23,023.26
  4. Step 4: Simplify right side
    41,886x = 1,330,808,202.43
  5. Step 5: Solve for x
    x = 1,330,808,202.43/41,886
  6. Step 6: Final answer
    x = 31,772.15

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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.