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Finding the Fourth Proportional to 30,538.98, 42,144.21 and 17,109.99

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Solution

The fourth proportional to 30,538.98, 42,144.21 and 17,109.99 is: 23,612.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,538.98 : 42,144.21 = 17,109.99 : x
  2. Step 2: Convert to fraction form
    30,538.98/42,144.21 = 17,109.99/x
  3. Step 3: Cross multiply
    30,538.98x = 42,144.21 × 17,109.99
  4. Step 4: Simplify right side
    30,538.98x = 721,087,011.66
  5. Step 5: Solve for x
    x = 721,087,011.66/30,538.98
  6. Step 6: Final answer
    x = 23,612.02

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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.