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Finding the Fourth Proportional to 81,984.50, 113,119.17 and 46,167.38

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Solution

The fourth proportional to 81,984.50, 113,119.17 and 46,167.38 is: 63,700.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,984.50 : 113,119.17 = 46,167.38 : x
  2. Step 2: Convert to fraction form
    81,984.50/113,119.17 = 46,167.38/x
  3. Step 3: Cross multiply
    81,984.50x = 113,119.17 × 46,167.38
  4. Step 4: Simplify right side
    81,984.50x = 5,222,415,706.67
  5. Step 5: Solve for x
    x = 5,222,415,706.67/81,984.50
  6. Step 6: Final answer
    x = 63,700.04

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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.