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Finding the Fourth Proportional to 35,537.94, 49,043.34 and 20,434.14

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Solution

The fourth proportional to 35,537.94, 49,043.34 and 20,434.14 is: 28,199.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,537.94 : 49,043.34 = 20,434.14 : x
  2. Step 2: Convert to fraction form
    35,537.94/49,043.34 = 20,434.14/x
  3. Step 3: Cross multiply
    35,537.94x = 49,043.34 × 20,434.14
  4. Step 4: Simplify right side
    35,537.94x = 1,002,158,475.63
  5. Step 5: Solve for x
    x = 1,002,158,475.63/35,537.94
  6. Step 6: Final answer
    x = 28,199.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.