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Finding the Fourth Proportional to 50,135.95, 75,203.92 and 23,826.34

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Solution

The fourth proportional to 50,135.95, 75,203.92 and 23,826.34 is: 35,739.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,135.95 : 75,203.92 = 23,826.34 : x
  2. Step 2: Convert to fraction form
    50,135.95/75,203.92 = 23,826.34/x
  3. Step 3: Cross multiply
    50,135.95x = 75,203.92 × 23,826.34
  4. Step 4: Simplify right side
    50,135.95x = 1,791,833,791.23
  5. Step 5: Solve for x
    x = 1,791,833,791.23/50,135.95
  6. Step 6: Final answer
    x = 35,739.50

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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.