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Finding the Fourth Proportional to 41,366, 57,080.76 and 23,455.28

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Solution

The fourth proportional to 41,366, 57,080.76 and 23,455.28 is: 32,365.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,366 : 57,080.76 = 23,455.28 : x
  2. Step 2: Convert to fraction form
    41,366/57,080.76 = 23,455.28/x
  3. Step 3: Cross multiply
    41,366x = 57,080.76 × 23,455.28
  4. Step 4: Simplify right side
    41,366x = 1,338,845,208.41
  5. Step 5: Solve for x
    x = 1,338,845,208.41/41,366
  6. Step 6: Final answer
    x = 32,365.84

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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.