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Finding the Fourth Proportional to 72,756.88, 109,135.37 and 20,166.82

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Solution

The fourth proportional to 72,756.88, 109,135.37 and 20,166.82 is: 30,250.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,756.88 : 109,135.37 = 20,166.82 : x
  2. Step 2: Convert to fraction form
    72,756.88/109,135.37 = 20,166.82/x
  3. Step 3: Cross multiply
    72,756.88x = 109,135.37 × 20,166.82
  4. Step 4: Simplify right side
    72,756.88x = 2,200,913,362.42
  5. Step 5: Solve for x
    x = 2,200,913,362.42/72,756.88
  6. Step 6: Final answer
    x = 30,250.24

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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.