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Finding the Fourth Proportional to 74,548.35, 102,874.38 and 40,555.97

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Solution

The fourth proportional to 74,548.35, 102,874.38 and 40,555.97 is: 55,965.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,548.35 : 102,874.38 = 40,555.97 : x
  2. Step 2: Convert to fraction form
    74,548.35/102,874.38 = 40,555.97/x
  3. Step 3: Cross multiply
    74,548.35x = 102,874.38 × 40,555.97
  4. Step 4: Simplify right side
    74,548.35x = 4,172,169,813.10
  5. Step 5: Solve for x
    x = 4,172,169,813.10/74,548.35
  6. Step 6: Final answer
    x = 55,965.96

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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.