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Finding the Fourth Proportional to 52,139.46, 71,949.67 and 29,477.12

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Solution

The fourth proportional to 52,139.46, 71,949.67 and 29,477.12 is: 40,676.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,139.46 : 71,949.67 = 29,477.12 : x
  2. Step 2: Convert to fraction form
    52,139.46/71,949.67 = 29,477.12/x
  3. Step 3: Cross multiply
    52,139.46x = 71,949.67 × 29,477.12
  4. Step 4: Simplify right side
    52,139.46x = 2,120,868,623.11
  5. Step 5: Solve for x
    x = 2,120,868,623.11/52,139.46
  6. Step 6: Final answer
    x = 40,676.84

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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.