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Finding the Fourth Proportional to 31,045.72, 46,540.49 and 11,319.66

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Solution

The fourth proportional to 31,045.72, 46,540.49 and 11,319.66 is: 16,969.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,045.72 : 46,540.49 = 11,319.66 : x
  2. Step 2: Convert to fraction form
    31,045.72/46,540.49 = 11,319.66/x
  3. Step 3: Cross multiply
    31,045.72x = 46,540.49 × 11,319.66
  4. Step 4: Simplify right side
    31,045.72x = 526,822,523.03
  5. Step 5: Solve for x
    x = 526,822,523.03/31,045.72
  6. Step 6: Final answer
    x = 16,969.25

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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.