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Finding the Fourth Proportional to 82,919.84, 114,429.11 and 45,194.09

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Solution

The fourth proportional to 82,919.84, 114,429.11 and 45,194.09 is: 62,367.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,919.84 : 114,429.11 = 45,194.09 : x
  2. Step 2: Convert to fraction form
    82,919.84/114,429.11 = 45,194.09/x
  3. Step 3: Cross multiply
    82,919.84x = 114,429.11 × 45,194.09
  4. Step 4: Simplify right side
    82,919.84x = 5,171,518,697.84
  5. Step 5: Solve for x
    x = 5,171,518,697.84/82,919.84
  6. Step 6: Final answer
    x = 62,367.69

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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.