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Finding the Fourth Proportional to 54,354.61, 74,974.84 and 39,269.44

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Solution

The fourth proportional to 54,354.61, 74,974.84 and 39,269.44 is: 54,166.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,354.61 : 74,974.84 = 39,269.44 : x
  2. Step 2: Convert to fraction form
    54,354.61/74,974.84 = 39,269.44/x
  3. Step 3: Cross multiply
    54,354.61x = 74,974.84 × 39,269.44
  4. Step 4: Simplify right side
    54,354.61x = 2,944,219,980.89
  5. Step 5: Solve for x
    x = 2,944,219,980.89/54,354.61
  6. Step 6: Final answer
    x = 54,166.89

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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.