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Finding the Fourth Proportional to 109,306.41, 163,965.45 and 34,432.43

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Solution

The fourth proportional to 109,306.41, 163,965.45 and 34,432.43 is: 51,650.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,306.41 : 163,965.45 = 34,432.43 : x
  2. Step 2: Convert to fraction form
    109,306.41/163,965.45 = 34,432.43/x
  3. Step 3: Cross multiply
    109,306.41x = 163,965.45 × 34,432.43
  4. Step 4: Simplify right side
    109,306.41x = 5,645,728,059.72
  5. Step 5: Solve for x
    x = 5,645,728,059.72/109,306.41
  6. Step 6: Final answer
    x = 51,650.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.