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Finding the Fourth Proportional to 74,363.25, 102,583.24 and 47,477.49

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Solution

The fourth proportional to 74,363.25, 102,583.24 and 47,477.49 is: 65,494.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,363.25 : 102,583.24 = 47,477.49 : x
  2. Step 2: Convert to fraction form
    74,363.25/102,583.24 = 47,477.49/x
  3. Step 3: Cross multiply
    74,363.25x = 102,583.24 × 47,477.49
  4. Step 4: Simplify right side
    74,363.25x = 4,870,394,751.27
  5. Step 5: Solve for x
    x = 4,870,394,751.27/74,363.25
  6. Step 6: Final answer
    x = 65,494.65

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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.