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Finding the Fourth Proportional to 34,765.20, 47,980.32 and 19,658.70

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Solution

The fourth proportional to 34,765.20, 47,980.32 and 19,658.70 is: 27,131.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,765.20 : 47,980.32 = 19,658.70 : x
  2. Step 2: Convert to fraction form
    34,765.20/47,980.32 = 19,658.70/x
  3. Step 3: Cross multiply
    34,765.20x = 47,980.32 × 19,658.70
  4. Step 4: Simplify right side
    34,765.20x = 943,230,716.78
  5. Step 5: Solve for x
    x = 943,230,716.78/34,765.20
  6. Step 6: Final answer
    x = 27,131.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.