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Finding the Fourth Proportional to 70,984.16, 106,205.52 and 42,800.48

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Solution

The fourth proportional to 70,984.16, 106,205.52 and 42,800.48 is: 64,037.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,984.16 : 106,205.52 = 42,800.48 : x
  2. Step 2: Convert to fraction form
    70,984.16/106,205.52 = 42,800.48/x
  3. Step 3: Cross multiply
    70,984.16x = 106,205.52 × 42,800.48
  4. Step 4: Simplify right side
    70,984.16x = 4,545,647,234.65
  5. Step 5: Solve for x
    x = 4,545,647,234.65/70,984.16
  6. Step 6: Final answer
    x = 64,037.49

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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.