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Finding the Fourth Proportional to 40,379.76, 55,676.40 and 27,639.08

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Solution

The fourth proportional to 40,379.76, 55,676.40 and 27,639.08 is: 38,109.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,379.76 : 55,676.40 = 27,639.08 : x
  2. Step 2: Convert to fraction form
    40,379.76/55,676.40 = 27,639.08/x
  3. Step 3: Cross multiply
    40,379.76x = 55,676.40 × 27,639.08
  4. Step 4: Simplify right side
    40,379.76x = 1,538,844,473.71
  5. Step 5: Solve for x
    x = 1,538,844,473.71/40,379.76
  6. Step 6: Final answer
    x = 38,109.30

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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.