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Finding the Fourth Proportional to 29,473.41, 44,209.71 and 12,833.09

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Solution

The fourth proportional to 29,473.41, 44,209.71 and 12,833.09 is: 19,249.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,473.41 : 44,209.71 = 12,833.09 : x
  2. Step 2: Convert to fraction form
    29,473.41/44,209.71 = 12,833.09/x
  3. Step 3: Cross multiply
    29,473.41x = 44,209.71 × 12,833.09
  4. Step 4: Simplify right side
    29,473.41x = 567,347,187.30
  5. Step 5: Solve for x
    x = 567,347,187.30/29,473.41
  6. Step 6: Final answer
    x = 19,249.46

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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.