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Finding the Fourth Proportional to 31,801.64, 47,710.98 and 11,025.14

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Solution

The fourth proportional to 31,801.64, 47,710.98 and 11,025.14 is: 16,540.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,801.64 : 47,710.98 = 11,025.14 : x
  2. Step 2: Convert to fraction form
    31,801.64/47,710.98 = 11,025.14/x
  3. Step 3: Cross multiply
    31,801.64x = 47,710.98 × 11,025.14
  4. Step 4: Simplify right side
    31,801.64x = 526,020,234.04
  5. Step 5: Solve for x
    x = 526,020,234.04/31,801.64
  6. Step 6: Final answer
    x = 16,540.66

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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.