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Finding the Fourth Proportional to 29,421, 44,131.50 and 7,533

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Solution

The fourth proportional to 29,421, 44,131.50 and 7,533 is: 11,299.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,421 : 44,131.50 = 7,533 : x
  2. Step 2: Convert to fraction form
    29,421/44,131.50 = 7,533/x
  3. Step 3: Cross multiply
    29,421x = 44,131.50 × 7,533
  4. Step 4: Simplify right side
    29,421x = 332,442,589.50
  5. Step 5: Solve for x
    x = 332,442,589.50/29,421
  6. Step 6: Final answer
    x = 11,299.50

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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.