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Finding the Fourth Proportional to 77,610.84, 107,000.82 and 50,706.60

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Solution

The fourth proportional to 77,610.84, 107,000.82 and 50,706.60 is: 69,908.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,610.84 : 107,000.82 = 50,706.60 : x
  2. Step 2: Convert to fraction form
    77,610.84/107,000.82 = 50,706.60/x
  3. Step 3: Cross multiply
    77,610.84x = 107,000.82 × 50,706.60
  4. Step 4: Simplify right side
    77,610.84x = 5,425,647,779.41
  5. Step 5: Solve for x
    x = 5,425,647,779.41/77,610.84
  6. Step 6: Final answer
    x = 69,908.38

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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.