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Finding the Fourth Proportional to 67,448.70, 101,149.30 and 22,457.84

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Solution

The fourth proportional to 67,448.70, 101,149.30 and 22,457.84 is: 33,678.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,448.70 : 101,149.30 = 22,457.84 : x
  2. Step 2: Convert to fraction form
    67,448.70/101,149.30 = 22,457.84/x
  3. Step 3: Cross multiply
    67,448.70x = 101,149.30 × 22,457.84
  4. Step 4: Simplify right side
    67,448.70x = 2,271,595,048.39
  5. Step 5: Solve for x
    x = 2,271,595,048.39/67,448.70
  6. Step 6: Final answer
    x = 33,678.85

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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.