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Finding the Fourth Proportional to 74,732.54, 103,130.89 and 41,198.54

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Solution

The fourth proportional to 74,732.54, 103,130.89 and 41,198.54 is: 56,853.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,732.54 : 103,130.89 = 41,198.54 : x
  2. Step 2: Convert to fraction form
    74,732.54/103,130.89 = 41,198.54/x
  3. Step 3: Cross multiply
    74,732.54x = 103,130.89 × 41,198.54
  4. Step 4: Simplify right side
    74,732.54x = 4,248,841,478.25
  5. Step 5: Solve for x
    x = 4,248,841,478.25/74,732.54
  6. Step 6: Final answer
    x = 56,853.97

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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.