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Finding the Fourth Proportional to 78,072.72, 107,713.44 and 44,076.96

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Solution

The fourth proportional to 78,072.72, 107,713.44 and 44,076.96 is: 60,811.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,072.72 : 107,713.44 = 44,076.96 : x
  2. Step 2: Convert to fraction form
    78,072.72/107,713.44 = 44,076.96/x
  3. Step 3: Cross multiply
    78,072.72x = 107,713.44 × 44,076.96
  4. Step 4: Simplify right side
    78,072.72x = 4,747,680,986.34
  5. Step 5: Solve for x
    x = 4,747,680,986.34/78,072.72
  6. Step 6: Final answer
    x = 60,811.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.