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Finding the Fourth Proportional to 73,171.84, 109,746.32 and 23,245.38

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Solution

The fourth proportional to 73,171.84, 109,746.32 and 23,245.38 is: 34,864.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,171.84 : 109,746.32 = 23,245.38 : x
  2. Step 2: Convert to fraction form
    73,171.84/109,746.32 = 23,245.38/x
  3. Step 3: Cross multiply
    73,171.84x = 109,746.32 × 23,245.38
  4. Step 4: Simplify right side
    73,171.84x = 2,551,094,912.00
  5. Step 5: Solve for x
    x = 2,551,094,912.00/73,171.84
  6. Step 6: Final answer
    x = 34,864.44

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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.