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Finding the Fourth Proportional to 82,201.40, 113,425.76 and 49,919.22

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Solution

The fourth proportional to 82,201.40, 113,425.76 and 49,919.22 is: 68,881.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,201.40 : 113,425.76 = 49,919.22 : x
  2. Step 2: Convert to fraction form
    82,201.40/113,425.76 = 49,919.22/x
  3. Step 3: Cross multiply
    82,201.40x = 113,425.76 × 49,919.22
  4. Step 4: Simplify right side
    82,201.40x = 5,662,125,830.05
  5. Step 5: Solve for x
    x = 5,662,125,830.05/82,201.40
  6. Step 6: Final answer
    x = 68,881.14

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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.