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Finding the Fourth Proportional to 30,771.90, 42,464.34 and 17,342.92

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Solution

The fourth proportional to 30,771.90, 42,464.34 and 17,342.92 is: 23,932.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,771.90 : 42,464.34 = 17,342.92 : x
  2. Step 2: Convert to fraction form
    30,771.90/42,464.34 = 17,342.92/x
  3. Step 3: Cross multiply
    30,771.90x = 42,464.34 × 17,342.92
  4. Step 4: Simplify right side
    30,771.90x = 736,455,651.47
  5. Step 5: Solve for x
    x = 736,455,651.47/30,771.90
  6. Step 6: Final answer
    x = 23,932.73

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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.