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Finding the Fourth Proportional to 35,675.61, 49,231.84 and 20,568.30

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Solution

The fourth proportional to 35,675.61, 49,231.84 and 20,568.30 is: 28,383.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,675.61 : 49,231.84 = 20,568.30 : x
  2. Step 2: Convert to fraction form
    35,675.61/49,231.84 = 20,568.30/x
  3. Step 3: Cross multiply
    35,675.61x = 49,231.84 × 20,568.30
  4. Step 4: Simplify right side
    35,675.61x = 1,012,615,254.67
  5. Step 5: Solve for x
    x = 1,012,615,254.67/35,675.61
  6. Step 6: Final answer
    x = 28,383.96

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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.