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Finding the Fourth Proportional to 51,874.64, 71,590.82 and 29,216.10

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Solution

The fourth proportional to 51,874.64, 71,590.82 and 29,216.10 is: 40,320.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,874.64 : 71,590.82 = 29,216.10 : x
  2. Step 2: Convert to fraction form
    51,874.64/71,590.82 = 29,216.10/x
  3. Step 3: Cross multiply
    51,874.64x = 71,590.82 × 29,216.10
  4. Step 4: Simplify right side
    51,874.64x = 2,091,604,410.12
  5. Step 5: Solve for x
    x = 2,091,604,410.12/51,874.64
  6. Step 6: Final answer
    x = 40,320.37

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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.