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Finding the Fourth Proportional to 30,771.27, 42,462.99 and 17,342.46

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Solution

The fourth proportional to 30,771.27, 42,462.99 and 17,342.46 is: 23,931.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,771.27 : 42,462.99 = 17,342.46 : x
  2. Step 2: Convert to fraction form
    30,771.27/42,462.99 = 17,342.46/x
  3. Step 3: Cross multiply
    30,771.27x = 42,462.99 × 17,342.46
  4. Step 4: Simplify right side
    30,771.27x = 736,412,705.56
  5. Step 5: Solve for x
    x = 736,412,705.56/30,771.27
  6. Step 6: Final answer
    x = 23,931.83

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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.