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Finding the Fourth Proportional to 30,764.85, 42,455.50 and 16,617.69

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Solution

The fourth proportional to 30,764.85, 42,455.50 and 16,617.69 is: 22,932.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,764.85 : 42,455.50 = 16,617.69 : x
  2. Step 2: Convert to fraction form
    30,764.85/42,455.50 = 16,617.69/x
  3. Step 3: Cross multiply
    30,764.85x = 42,455.50 × 16,617.69
  4. Step 4: Simplify right side
    30,764.85x = 705,512,337.80
  5. Step 5: Solve for x
    x = 705,512,337.80/30,764.85
  6. Step 6: Final answer
    x = 22,932.42

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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.