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Finding the Fourth Proportional to 82,847.70, 124,271.55 and 75,849.30

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Solution

The fourth proportional to 82,847.70, 124,271.55 and 75,849.30 is: 113,773.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,847.70 : 124,271.55 = 75,849.30 : x
  2. Step 2: Convert to fraction form
    82,847.70/124,271.55 = 75,849.30/x
  3. Step 3: Cross multiply
    82,847.70x = 124,271.55 × 75,849.30
  4. Step 4: Simplify right side
    82,847.70x = 9,425,910,077.42
  5. Step 5: Solve for x
    x = 9,425,910,077.42/82,847.70
  6. Step 6: Final answer
    x = 113,773.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.