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Finding the Fourth Proportional to 29,361, 44,046.09 and 9,635.07

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Solution

The fourth proportional to 29,361, 44,046.09 and 9,635.07 is: 14,454.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,361 : 44,046.09 = 9,635.07 : x
  2. Step 2: Convert to fraction form
    29,361/44,046.09 = 9,635.07/x
  3. Step 3: Cross multiply
    29,361x = 44,046.09 × 9,635.07
  4. Step 4: Simplify right side
    29,361x = 424,387,160.38
  5. Step 5: Solve for x
    x = 424,387,160.38/29,361
  6. Step 6: Final answer
    x = 14,454.11

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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.