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Finding the Fourth Proportional to 35,857.04, 53,733.24 and 20,194.64

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Solution

The fourth proportional to 35,857.04, 53,733.24 and 20,194.64 is: 30,262.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,857.04 : 53,733.24 = 20,194.64 : x
  2. Step 2: Convert to fraction form
    35,857.04/53,733.24 = 20,194.64/x
  3. Step 3: Cross multiply
    35,857.04x = 53,733.24 × 20,194.64
  4. Step 4: Simplify right side
    35,857.04x = 1,085,123,437.83
  5. Step 5: Solve for x
    x = 1,085,123,437.83/35,857.04
  6. Step 6: Final answer
    x = 30,262.49

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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.