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Finding the Fourth Proportional to 73,624.40, 110,323.20 and 54,816.20

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Solution

The fourth proportional to 73,624.40, 110,323.20 and 54,816.20 is: 82,139.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,624.40 : 110,323.20 = 54,816.20 : x
  2. Step 2: Convert to fraction form
    73,624.40/110,323.20 = 54,816.20/x
  3. Step 3: Cross multiply
    73,624.40x = 110,323.20 × 54,816.20
  4. Step 4: Simplify right side
    73,624.40x = 6,047,498,595.84
  5. Step 5: Solve for x
    x = 6,047,498,595.84/73,624.40
  6. Step 6: Final answer
    x = 82,139.87

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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.