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Finding the Fourth Proportional to 35,676.68, 49,233.69 and 20,569.25

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Solution

The fourth proportional to 35,676.68, 49,233.69 and 20,569.25 is: 28,385.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,676.68 : 49,233.69 = 20,569.25 : x
  2. Step 2: Convert to fraction form
    35,676.68/49,233.69 = 20,569.25/x
  3. Step 3: Cross multiply
    35,676.68x = 49,233.69 × 20,569.25
  4. Step 4: Simplify right side
    35,676.68x = 1,012,700,201.12
  5. Step 5: Solve for x
    x = 1,012,700,201.12/35,676.68
  6. Step 6: Final answer
    x = 28,385.50

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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.