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Finding the Fourth Proportional to 29,539, 44,308.50 and 7,651

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Solution

The fourth proportional to 29,539, 44,308.50 and 7,651 is: 11,476.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,539 : 44,308.50 = 7,651 : x
  2. Step 2: Convert to fraction form
    29,539/44,308.50 = 7,651/x
  3. Step 3: Cross multiply
    29,539x = 44,308.50 × 7,651
  4. Step 4: Simplify right side
    29,539x = 339,004,333.50
  5. Step 5: Solve for x
    x = 339,004,333.50/29,539
  6. Step 6: Final answer
    x = 11,476.50

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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.