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Finding the Fourth Proportional to 69,692.92, 96,173.14 and 39,477.64

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Solution

The fourth proportional to 69,692.92, 96,173.14 and 39,477.64 is: 54,477.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,692.92 : 96,173.14 = 39,477.64 : x
  2. Step 2: Convert to fraction form
    69,692.92/96,173.14 = 39,477.64/x
  3. Step 3: Cross multiply
    69,692.92x = 96,173.14 × 39,477.64
  4. Step 4: Simplify right side
    69,692.92x = 3,796,688,243.32
  5. Step 5: Solve for x
    x = 3,796,688,243.32/69,692.92
  6. Step 6: Final answer
    x = 54,477.39

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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.