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Finding the Fourth Proportional to 31,182.36, 46,773.95 and 10,405.86

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Solution

The fourth proportional to 31,182.36, 46,773.95 and 10,405.86 is: 15,608.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,182.36 : 46,773.95 = 10,405.86 : x
  2. Step 2: Convert to fraction form
    31,182.36/46,773.95 = 10,405.86/x
  3. Step 3: Cross multiply
    31,182.36x = 46,773.95 × 10,405.86
  4. Step 4: Simplify right side
    31,182.36x = 486,723,175.35
  5. Step 5: Solve for x
    x = 486,723,175.35/31,182.36
  6. Step 6: Final answer
    x = 15,608.93

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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.