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Finding the Fourth Proportional to 41,930.76, 57,888.42 and 27,802.80

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Solution

The fourth proportional to 41,930.76, 57,888.42 and 27,802.80 is: 38,383.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,930.76 : 57,888.42 = 27,802.80 : x
  2. Step 2: Convert to fraction form
    41,930.76/57,888.42 = 27,802.80/x
  3. Step 3: Cross multiply
    41,930.76x = 57,888.42 × 27,802.80
  4. Step 4: Simplify right side
    41,930.76x = 1,609,460,163.58
  5. Step 5: Solve for x
    x = 1,609,460,163.58/41,930.76
  6. Step 6: Final answer
    x = 38,383.76

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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.