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Finding the Fourth Proportional to 31,045.56, 46,540.74 and 11,320.44

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Solution

The fourth proportional to 31,045.56, 46,540.74 and 11,320.44 is: 16,970.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,045.56 : 46,540.74 = 11,320.44 : x
  2. Step 2: Convert to fraction form
    31,045.56/46,540.74 = 11,320.44/x
  3. Step 3: Cross multiply
    31,045.56x = 46,540.74 × 11,320.44
  4. Step 4: Simplify right side
    31,045.56x = 526,861,654.73
  5. Step 5: Solve for x
    x = 526,861,654.73/31,045.56
  6. Step 6: Final answer
    x = 16,970.60

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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.