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Finding the Fourth Proportional to 30,764.34, 42,458.85 and 17,338.50

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Solution

The fourth proportional to 30,764.34, 42,458.85 and 17,338.50 is: 23,929.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,764.34 : 42,458.85 = 17,338.50 : x
  2. Step 2: Convert to fraction form
    30,764.34/42,458.85 = 17,338.50/x
  3. Step 3: Cross multiply
    30,764.34x = 42,458.85 × 17,338.50
  4. Step 4: Simplify right side
    30,764.34x = 736,172,770.73
  5. Step 5: Solve for x
    x = 736,172,770.73/30,764.34
  6. Step 6: Final answer
    x = 23,929.42

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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.