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Finding the Fourth Proportional to 31,175.91, 46,762.38 and 11,452.95

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Solution

The fourth proportional to 31,175.91, 46,762.38 and 11,452.95 is: 17,178.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,175.91 : 46,762.38 = 11,452.95 : x
  2. Step 2: Convert to fraction form
    31,175.91/46,762.38 = 11,452.95/x
  3. Step 3: Cross multiply
    31,175.91x = 46,762.38 × 11,452.95
  4. Step 4: Simplify right side
    31,175.91x = 535,567,200.02
  5. Step 5: Solve for x
    x = 535,567,200.02/31,175.91
  6. Step 6: Final answer
    x = 17,178.88

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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.