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Finding the Fourth Proportional to 74,433.69, 102,692.64 and 47,591.91

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Solution

The fourth proportional to 74,433.69, 102,692.64 and 47,591.91 is: 65,660.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,433.69 : 102,692.64 = 47,591.91 : x
  2. Step 2: Convert to fraction form
    74,433.69/102,692.64 = 47,591.91/x
  3. Step 3: Cross multiply
    74,433.69x = 102,692.64 × 47,591.91
  4. Step 4: Simplify right side
    74,433.69x = 4,887,338,880.54
  5. Step 5: Solve for x
    x = 4,887,338,880.54/74,433.69
  6. Step 6: Final answer
    x = 65,660.31

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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.