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Finding the Fourth Proportional to 34,611.64, 47,799.12 and 29,821.84

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Solution

The fourth proportional to 34,611.64, 47,799.12 and 29,821.84 is: 41,184.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,611.64 : 47,799.12 = 29,821.84 : x
  2. Step 2: Convert to fraction form
    34,611.64/47,799.12 = 29,821.84/x
  3. Step 3: Cross multiply
    34,611.64x = 47,799.12 × 29,821.84
  4. Step 4: Simplify right side
    34,611.64x = 1,425,457,708.78
  5. Step 5: Solve for x
    x = 1,425,457,708.78/34,611.64
  6. Step 6: Final answer
    x = 41,184.34

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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.