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Finding the Fourth Proportional to 52,009.94, 78,023.00 and 16,941.44

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Solution

The fourth proportional to 52,009.94, 78,023.00 and 16,941.44 is: 25,414.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,009.94 : 78,023.00 = 16,941.44 : x
  2. Step 2: Convert to fraction form
    52,009.94/78,023.00 = 16,941.44/x
  3. Step 3: Cross multiply
    52,009.94x = 78,023.00 × 16,941.44
  4. Step 4: Simplify right side
    52,009.94x = 1,321,821,625.36
  5. Step 5: Solve for x
    x = 1,321,821,625.36/52,009.94
  6. Step 6: Final answer
    x = 25,414.79

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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.