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Finding the Fourth Proportional to 30,909.12, 42,655.68 and 17,481.84

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Solution

The fourth proportional to 30,909.12, 42,655.68 and 17,481.84 is: 24,125.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,909.12 : 42,655.68 = 17,481.84 : x
  2. Step 2: Convert to fraction form
    30,909.12/42,655.68 = 17,481.84/x
  3. Step 3: Cross multiply
    30,909.12x = 42,655.68 × 17,481.84
  4. Step 4: Simplify right side
    30,909.12x = 745,699,772.85
  5. Step 5: Solve for x
    x = 745,699,772.85/30,909.12
  6. Step 6: Final answer
    x = 24,125.56

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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.