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Finding the Fourth Proportional to 73,622.40, 110,320.20 and 54,814.20

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Solution

The fourth proportional to 73,622.40, 110,320.20 and 54,814.20 is: 82,136.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,622.40 : 110,320.20 = 54,814.20 : x
  2. Step 2: Convert to fraction form
    73,622.40/110,320.20 = 54,814.20/x
  3. Step 3: Cross multiply
    73,622.40x = 110,320.20 × 54,814.20
  4. Step 4: Simplify right side
    73,622.40x = 6,047,113,506.84
  5. Step 5: Solve for x
    x = 6,047,113,506.84/73,622.40
  6. Step 6: Final answer
    x = 82,136.87

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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.