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Finding the Fourth Proportional to 69,965.98, 96,551.94 and 38,135.14

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Solution

The fourth proportional to 69,965.98, 96,551.94 and 38,135.14 is: 52,625.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,965.98 : 96,551.94 = 38,135.14 : x
  2. Step 2: Convert to fraction form
    69,965.98/96,551.94 = 38,135.14/x
  3. Step 3: Cross multiply
    69,965.98x = 96,551.94 × 38,135.14
  4. Step 4: Simplify right side
    69,965.98x = 3,682,021,749.17
  5. Step 5: Solve for x
    x = 3,682,021,749.17/69,965.98
  6. Step 6: Final answer
    x = 52,625.89

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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.