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Finding the Fourth Proportional to 31,044.71, 46,538.99 and 11,318.66

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Solution

The fourth proportional to 31,044.71, 46,538.99 and 11,318.66 is: 16,967.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,044.71 : 46,538.99 = 11,318.66 : x
  2. Step 2: Convert to fraction form
    31,044.71/46,538.99 = 11,318.66/x
  3. Step 3: Cross multiply
    31,044.71x = 46,538.99 × 11,318.66
  4. Step 4: Simplify right side
    31,044.71x = 526,758,771.86
  5. Step 5: Solve for x
    x = 526,758,771.86/31,044.71
  6. Step 6: Final answer
    x = 16,967.75

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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.