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Finding the Fourth Proportional to 83,830.98, 125,762.94 and 27,668.82

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Solution

The fourth proportional to 83,830.98, 125,762.94 and 27,668.82 is: 41,508.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,830.98 : 125,762.94 = 27,668.82 : x
  2. Step 2: Convert to fraction form
    83,830.98/125,762.94 = 27,668.82/x
  3. Step 3: Cross multiply
    83,830.98x = 125,762.94 × 27,668.82
  4. Step 4: Simplify right side
    83,830.98x = 3,479,712,149.53
  5. Step 5: Solve for x
    x = 3,479,712,149.53/83,830.98
  6. Step 6: Final answer
    x = 41,508.67

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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.