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Finding the Fourth Proportional to 34,610.64, 47,797.74 and 29,820.84

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Solution

The fourth proportional to 34,610.64, 47,797.74 and 29,820.84 is: 41,182.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,610.64 : 47,797.74 = 29,820.84 : x
  2. Step 2: Convert to fraction form
    34,610.64/47,797.74 = 29,820.84/x
  3. Step 3: Cross multiply
    34,610.64x = 47,797.74 × 29,820.84
  4. Step 4: Simplify right side
    34,610.64x = 1,425,368,756.90
  5. Step 5: Solve for x
    x = 1,425,368,756.90/34,610.64
  6. Step 6: Final answer
    x = 41,182.96

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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.