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Finding the Fourth Proportional to 83,813.23, 125,723.78 and 27,658.25

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Solution

The fourth proportional to 83,813.23, 125,723.78 and 27,658.25 is: 41,488.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,813.23 : 125,723.78 = 27,658.25 : x
  2. Step 2: Convert to fraction form
    83,813.23/125,723.78 = 27,658.25/x
  3. Step 3: Cross multiply
    83,813.23x = 125,723.78 × 27,658.25
  4. Step 4: Simplify right side
    83,813.23x = 3,477,298,971.27
  5. Step 5: Solve for x
    x = 3,477,298,971.27/83,813.23
  6. Step 6: Final answer
    x = 41,488.67

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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.