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Finding the Fourth Proportional to 82,906.44, 114,378.40 and 51,019.98

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Solution

The fourth proportional to 82,906.44, 114,378.40 and 51,019.98 is: 70,387.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,906.44 : 114,378.40 = 51,019.98 : x
  2. Step 2: Convert to fraction form
    82,906.44/114,378.40 = 51,019.98/x
  3. Step 3: Cross multiply
    82,906.44x = 114,378.40 × 51,019.98
  4. Step 4: Simplify right side
    82,906.44x = 5,835,583,315.29
  5. Step 5: Solve for x
    x = 5,835,583,315.29/82,906.44
  6. Step 6: Final answer
    x = 70,387.58

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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.