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Finding the Fourth Proportional to 30,971.67, 42,739.70 and 17,543.67

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Solution

The fourth proportional to 30,971.67, 42,739.70 and 17,543.67 is: 24,209.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,971.67 : 42,739.70 = 17,543.67 : x
  2. Step 2: Convert to fraction form
    30,971.67/42,739.70 = 17,543.67/x
  3. Step 3: Cross multiply
    30,971.67x = 42,739.70 × 17,543.67
  4. Step 4: Simplify right side
    30,971.67x = 749,811,104.98
  5. Step 5: Solve for x
    x = 749,811,104.98/30,971.67
  6. Step 6: Final answer
    x = 24,209.58

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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.