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Finding the Fourth Proportional to 78,554.99, 117,850.94 and 25,964.48

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Solution

The fourth proportional to 78,554.99, 117,850.94 and 25,964.48 is: 38,952.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,554.99 : 117,850.94 = 25,964.48 : x
  2. Step 2: Convert to fraction form
    78,554.99/117,850.94 = 25,964.48/x
  3. Step 3: Cross multiply
    78,554.99x = 117,850.94 × 25,964.48
  4. Step 4: Simplify right side
    78,554.99x = 3,059,938,046.90
  5. Step 5: Solve for x
    x = 3,059,938,046.90/78,554.99
  6. Step 6: Final answer
    x = 38,952.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.