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Finding the Fourth Proportional to 31,183.74, 46,779.82 and 10,116.90

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Solution

The fourth proportional to 31,183.74, 46,779.82 and 10,116.90 is: 15,176.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,183.74 : 46,779.82 = 10,116.90 : x
  2. Step 2: Convert to fraction form
    31,183.74/46,779.82 = 10,116.90/x
  3. Step 3: Cross multiply
    31,183.74x = 46,779.82 × 10,116.90
  4. Step 4: Simplify right side
    31,183.74x = 473,266,760.96
  5. Step 5: Solve for x
    x = 473,266,760.96/31,183.74
  6. Step 6: Final answer
    x = 15,176.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.