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Finding the Fourth Proportional to 51,165.44, 70,589.58 and 31,007.78

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Solution

The fourth proportional to 51,165.44, 70,589.58 and 31,007.78 is: 42,779.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,165.44 : 70,589.58 = 31,007.78 : x
  2. Step 2: Convert to fraction form
    51,165.44/70,589.58 = 31,007.78/x
  3. Step 3: Cross multiply
    51,165.44x = 70,589.58 × 31,007.78
  4. Step 4: Simplify right side
    51,165.44x = 2,188,826,166.93
  5. Step 5: Solve for x
    x = 2,188,826,166.93/51,165.44
  6. Step 6: Final answer
    x = 42,779.39

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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.