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Finding the Fourth Proportional to 74,383.25, 102,648.89 and 40,849.25

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Solution

The fourth proportional to 74,383.25, 102,648.89 and 40,849.25 is: 56,371.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,383.25 : 102,648.89 = 40,849.25 : x
  2. Step 2: Convert to fraction form
    74,383.25/102,648.89 = 40,849.25/x
  3. Step 3: Cross multiply
    74,383.25x = 102,648.89 × 40,849.25
  4. Step 4: Simplify right side
    74,383.25x = 4,193,129,965.59
  5. Step 5: Solve for x
    x = 4,193,129,965.59/74,383.25
  6. Step 6: Final answer
    x = 56,371.97

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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.