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Finding the Fourth Proportional to 30,991, 42,766.76 and 17,561.92

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Solution

The fourth proportional to 30,991, 42,766.76 and 17,561.92 is: 24,234.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,991 : 42,766.76 = 17,561.92 : x
  2. Step 2: Convert to fraction form
    30,991/42,766.76 = 17,561.92/x
  3. Step 3: Cross multiply
    30,991x = 42,766.76 × 17,561.92
  4. Step 4: Simplify right side
    30,991x = 751,066,417.78
  5. Step 5: Solve for x
    x = 751,066,417.78/30,991
  6. Step 6: Final answer
    x = 24,234.98

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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.