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Finding the Fourth Proportional to 35,918.17, 49,563.90 and 20,806

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Solution

The fourth proportional to 35,918.17, 49,563.90 and 20,806 is: 28,710.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,918.17 : 49,563.90 = 20,806 : x
  2. Step 2: Convert to fraction form
    35,918.17/49,563.90 = 20,806/x
  3. Step 3: Cross multiply
    35,918.17x = 49,563.90 × 20,806
  4. Step 4: Simplify right side
    35,918.17x = 1,031,226,503.40
  5. Step 5: Solve for x
    x = 1,031,226,503.40/35,918.17
  6. Step 6: Final answer
    x = 28,710.44

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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.