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Finding the Fourth Proportional to 30,539.96, 42,144.27 and 17,795.96

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Solution

The fourth proportional to 30,539.96, 42,144.27 and 17,795.96 is: 24,557.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,539.96 : 42,144.27 = 17,795.96 : x
  2. Step 2: Convert to fraction form
    30,539.96/42,144.27 = 17,795.96/x
  3. Step 3: Cross multiply
    30,539.96x = 42,144.27 × 17,795.96
  4. Step 4: Simplify right side
    30,539.96x = 749,997,743.15
  5. Step 5: Solve for x
    x = 749,997,743.15/30,539.96
  6. Step 6: Final answer
    x = 24,557.92

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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.