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Finding the Fourth Proportional to 27,539.87, 38,020.76 and 18,135.77

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Solution

The fourth proportional to 27,539.87, 38,020.76 and 18,135.77 is: 25,037.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,539.87 : 38,020.76 = 18,135.77 : x
  2. Step 2: Convert to fraction form
    27,539.87/38,020.76 = 18,135.77/x
  3. Step 3: Cross multiply
    27,539.87x = 38,020.76 × 18,135.77
  4. Step 4: Simplify right side
    27,539.87x = 689,535,477.80
  5. Step 5: Solve for x
    x = 689,535,477.80/27,539.87
  6. Step 6: Final answer
    x = 25,037.72

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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.