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Finding the Fourth Proportional to 69,776.12, 96,288.90 and 39,564.20

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Solution

The fourth proportional to 69,776.12, 96,288.90 and 39,564.20 is: 54,597.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,776.12 : 96,288.90 = 39,564.20 : x
  2. Step 2: Convert to fraction form
    69,776.12/96,288.90 = 39,564.20/x
  3. Step 3: Cross multiply
    69,776.12x = 96,288.90 × 39,564.20
  4. Step 4: Simplify right side
    69,776.12x = 3,809,593,297.38
  5. Step 5: Solve for x
    x = 3,809,593,297.38/69,776.12
  6. Step 6: Final answer
    x = 54,597.38

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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.