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Finding the Fourth Proportional to 39,814.80, 59,635.80 and 32,902.80

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Solution

The fourth proportional to 39,814.80, 59,635.80 and 32,902.80 is: 49,282.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,814.80 : 59,635.80 = 32,902.80 : x
  2. Step 2: Convert to fraction form
    39,814.80/59,635.80 = 32,902.80/x
  3. Step 3: Cross multiply
    39,814.80x = 59,635.80 × 32,902.80
  4. Step 4: Simplify right side
    39,814.80x = 1,962,184,800.24
  5. Step 5: Solve for x
    x = 1,962,184,800.24/39,814.80
  6. Step 6: Final answer
    x = 49,282.80

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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.