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Finding the Fourth Proportional to 49,469.64, 74,203.80 and 12,029.61

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Solution

The fourth proportional to 49,469.64, 74,203.80 and 12,029.61 is: 18,044.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,469.64 : 74,203.80 = 12,029.61 : x
  2. Step 2: Convert to fraction form
    49,469.64/74,203.80 = 12,029.61/x
  3. Step 3: Cross multiply
    49,469.64x = 74,203.80 × 12,029.61
  4. Step 4: Simplify right side
    49,469.64x = 892,642,774.52
  5. Step 5: Solve for x
    x = 892,642,774.52/49,469.64
  6. Step 6: Final answer
    x = 18,044.25

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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.