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Finding the Fourth Proportional to 30,950.34, 42,615.83 and 24,171.74

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Solution

The fourth proportional to 30,950.34, 42,615.83 and 24,171.74 is: 33,282.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,950.34 : 42,615.83 = 24,171.74 : x
  2. Step 2: Convert to fraction form
    30,950.34/42,615.83 = 24,171.74/x
  3. Step 3: Cross multiply
    30,950.34x = 42,615.83 × 24,171.74
  4. Step 4: Simplify right side
    30,950.34x = 1,030,098,962.27
  5. Step 5: Solve for x
    x = 1,030,098,962.27/30,950.34
  6. Step 6: Final answer
    x = 33,282.31

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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.