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Finding the Fourth Proportional to 40,804.68, 61,198.96 and 11,214.88

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Solution

The fourth proportional to 40,804.68, 61,198.96 and 11,214.88 is: 16,820.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,804.68 : 61,198.96 = 11,214.88 : x
  2. Step 2: Convert to fraction form
    40,804.68/61,198.96 = 11,214.88/x
  3. Step 3: Cross multiply
    40,804.68x = 61,198.96 × 11,214.88
  4. Step 4: Simplify right side
    40,804.68x = 686,338,992.52
  5. Step 5: Solve for x
    x = 686,338,992.52/40,804.68
  6. Step 6: Final answer
    x = 16,820.10

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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.