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Finding the Fourth Proportional to 52,622.87, 78,932.48 and 13,180.32

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Solution

The fourth proportional to 52,622.87, 78,932.48 and 13,180.32 is: 19,770.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,622.87 : 78,932.48 = 13,180.32 : x
  2. Step 2: Convert to fraction form
    52,622.87/78,932.48 = 13,180.32/x
  3. Step 3: Cross multiply
    52,622.87x = 78,932.48 × 13,180.32
  4. Step 4: Simplify right side
    52,622.87x = 1,040,355,278.89
  5. Step 5: Solve for x
    x = 1,040,355,278.89/52,622.87
  6. Step 6: Final answer
    x = 19,770.02

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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.