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Finding the Fourth Proportional to 73,311.66, 109,982.16 and 28,959.30

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Solution

The fourth proportional to 73,311.66, 109,982.16 and 28,959.30 is: 43,444.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,311.66 : 109,982.16 = 28,959.30 : x
  2. Step 2: Convert to fraction form
    73,311.66/109,982.16 = 28,959.30/x
  3. Step 3: Cross multiply
    73,311.66x = 109,982.16 × 28,959.30
  4. Step 4: Simplify right side
    73,311.66x = 3,185,006,366.09
  5. Step 5: Solve for x
    x = 3,185,006,366.09/73,311.66
  6. Step 6: Final answer
    x = 43,444.74

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Why These Related Problems?

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