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Finding the Fourth Proportional to 30,538.96, 42,142.89 and 17,794.96

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Solution

The fourth proportional to 30,538.96, 42,142.89 and 17,794.96 is: 24,556.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,538.96 : 42,142.89 = 17,794.96 : x
  2. Step 2: Convert to fraction form
    30,538.96/42,142.89 = 17,794.96/x
  3. Step 3: Cross multiply
    30,538.96x = 42,142.89 × 17,794.96
  4. Step 4: Simplify right side
    30,538.96x = 749,931,041.83
  5. Step 5: Solve for x
    x = 749,931,041.83/30,538.96
  6. Step 6: Final answer
    x = 24,556.54

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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.