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Finding the Fourth Proportional to 31,648.56, 47,444.91 and 11,940.96

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Solution

The fourth proportional to 31,648.56, 47,444.91 and 11,940.96 is: 17,900.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,648.56 : 47,444.91 = 11,940.96 : x
  2. Step 2: Convert to fraction form
    31,648.56/47,444.91 = 11,940.96/x
  3. Step 3: Cross multiply
    31,648.56x = 47,444.91 × 11,940.96
  4. Step 4: Simplify right side
    31,648.56x = 566,537,772.51
  5. Step 5: Solve for x
    x = 566,537,772.51/31,648.56
  6. Step 6: Final answer
    x = 17,900.90

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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.