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Finding the Fourth Proportional to 53,473.74, 80,289.46 and 29,827.49

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Solution

The fourth proportional to 53,473.74, 80,289.46 and 29,827.49 is: 44,785.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,473.74 : 80,289.46 = 29,827.49 : x
  2. Step 2: Convert to fraction form
    53,473.74/80,289.46 = 29,827.49/x
  3. Step 3: Cross multiply
    53,473.74x = 80,289.46 × 29,827.49
  4. Step 4: Simplify right side
    53,473.74x = 2,394,832,589.24
  5. Step 5: Solve for x
    x = 2,394,832,589.24/53,473.74
  6. Step 6: Final answer
    x = 44,785.21

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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.