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Finding the Fourth Proportional to 81,065.38, 111,872.12 and 50,851.98

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Solution

The fourth proportional to 81,065.38, 111,872.12 and 50,851.98 is: 70,176.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,065.38 : 111,872.12 = 50,851.98 : x
  2. Step 2: Convert to fraction form
    81,065.38/111,872.12 = 50,851.98/x
  3. Step 3: Cross multiply
    81,065.38x = 111,872.12 × 50,851.98
  4. Step 4: Simplify right side
    81,065.38x = 5,688,918,808.80
  5. Step 5: Solve for x
    x = 5,688,918,808.80/81,065.38
  6. Step 6: Final answer
    x = 70,176.92

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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.