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Finding the Fourth Proportional to 29,048.62, 43,574.55 and 8,270.50

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Solution

The fourth proportional to 29,048.62, 43,574.55 and 8,270.50 is: 12,406.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,048.62 : 43,574.55 = 8,270.50 : x
  2. Step 2: Convert to fraction form
    29,048.62/43,574.55 = 8,270.50/x
  3. Step 3: Cross multiply
    29,048.62x = 43,574.55 × 8,270.50
  4. Step 4: Simplify right side
    29,048.62x = 360,383,315.78
  5. Step 5: Solve for x
    x = 360,383,315.78/29,048.62
  6. Step 6: Final answer
    x = 12,406.21

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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.