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Finding the Fourth Proportional to 53,675.73, 74,142.23 and 40,851

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Solution

The fourth proportional to 53,675.73, 74,142.23 and 40,851 is: 56,427.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,675.73 : 74,142.23 = 40,851 : x
  2. Step 2: Convert to fraction form
    53,675.73/74,142.23 = 40,851/x
  3. Step 3: Cross multiply
    53,675.73x = 74,142.23 × 40,851
  4. Step 4: Simplify right side
    53,675.73x = 3,028,784,033.48
  5. Step 5: Solve for x
    x = 3,028,784,033.48/53,675.73
  6. Step 6: Final answer
    x = 56,427.44

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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.