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Finding the Fourth Proportional to 82,509.70, 123,764.55 and 27,105.70

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Solution

The fourth proportional to 82,509.70, 123,764.55 and 27,105.70 is: 40,658.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,509.70 : 123,764.55 = 27,105.70 : x
  2. Step 2: Convert to fraction form
    82,509.70/123,764.55 = 27,105.70/x
  3. Step 3: Cross multiply
    82,509.70x = 123,764.55 × 27,105.70
  4. Step 4: Simplify right side
    82,509.70x = 3,354,724,762.94
  5. Step 5: Solve for x
    x = 3,354,724,762.94/82,509.70
  6. Step 6: Final answer
    x = 40,658.55

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1.5x scale

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.