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Finding the Fourth Proportional to 109,306.28, 163,965.34 and 34,432.32

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Solution

The fourth proportional to 109,306.28, 163,965.34 and 34,432.32 is: 51,650.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,306.28 : 163,965.34 = 34,432.32 : x
  2. Step 2: Convert to fraction form
    109,306.28/163,965.34 = 34,432.32/x
  3. Step 3: Cross multiply
    109,306.28x = 163,965.34 × 34,432.32
  4. Step 4: Simplify right side
    109,306.28x = 5,645,707,055.79
  5. Step 5: Solve for x
    x = 5,645,707,055.79/109,306.28
  6. Step 6: Final answer
    x = 51,650.34

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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.