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Finding the Fourth Proportional to 73,805.40, 110,594.70 and 54,997.20

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Solution

The fourth proportional to 73,805.40, 110,594.70 and 54,997.20 is: 82,411.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,805.40 : 110,594.70 = 54,997.20 : x
  2. Step 2: Convert to fraction form
    73,805.40/110,594.70 = 54,997.20/x
  3. Step 3: Cross multiply
    73,805.40x = 110,594.70 × 54,997.20
  4. Step 4: Simplify right side
    73,805.40x = 6,082,398,834.84
  5. Step 5: Solve for x
    x = 6,082,398,834.84/73,805.40
  6. Step 6: Final answer
    x = 82,411.30

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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.