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Finding the Fourth Proportional to 103,212.54, 154,827.09 and 44,048.88

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Solution

The fourth proportional to 103,212.54, 154,827.09 and 44,048.88 is: 66,076.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,212.54 : 154,827.09 = 44,048.88 : x
  2. Step 2: Convert to fraction form
    103,212.54/154,827.09 = 44,048.88/x
  3. Step 3: Cross multiply
    103,212.54x = 154,827.09 × 44,048.88
  4. Step 4: Simplify right side
    103,212.54x = 6,819,959,908.16
  5. Step 5: Solve for x
    x = 6,819,959,908.16/103,212.54
  6. Step 6: Final answer
    x = 66,076.85

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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.