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Finding the Fourth Proportional to 38,493.59, 53,123.31 and 27,166.77

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Solution

The fourth proportional to 38,493.59, 53,123.31 and 27,166.77 is: 37,491.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,493.59 : 53,123.31 = 27,166.77 : x
  2. Step 2: Convert to fraction form
    38,493.59/53,123.31 = 27,166.77/x
  3. Step 3: Cross multiply
    38,493.59x = 53,123.31 × 27,166.77
  4. Step 4: Simplify right side
    38,493.59x = 1,443,188,744.41
  5. Step 5: Solve for x
    x = 1,443,188,744.41/38,493.59
  6. Step 6: Final answer
    x = 37,491.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.