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Finding the Fourth Proportional to 77,729, 107,266.02 and 44,195

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Solution

The fourth proportional to 77,729, 107,266.02 and 44,195 is: 60,989.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,729 : 107,266.02 = 44,195 : x
  2. Step 2: Convert to fraction form
    77,729/107,266.02 = 44,195/x
  3. Step 3: Cross multiply
    77,729x = 107,266.02 × 44,195
  4. Step 4: Simplify right side
    77,729x = 4,740,621,753.90
  5. Step 5: Solve for x
    x = 4,740,621,753.90/77,729
  6. Step 6: Final answer
    x = 60,989.10

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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.