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Finding the Fourth Proportional to 53,180.82, 79,785.09 and 19,903.50

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Solution

The fourth proportional to 53,180.82, 79,785.09 and 19,903.50 is: 29,860.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,180.82 : 79,785.09 = 19,903.50 : x
  2. Step 2: Convert to fraction form
    53,180.82/79,785.09 = 19,903.50/x
  3. Step 3: Cross multiply
    53,180.82x = 79,785.09 × 19,903.50
  4. Step 4: Simplify right side
    53,180.82x = 1,588,002,538.82
  5. Step 5: Solve for x
    x = 1,588,002,538.82/53,180.82
  6. Step 6: Final answer
    x = 29,860.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.