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Finding the Fourth Proportional to 31,397.82, 47,096.73 and 13,885.50

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Solution

The fourth proportional to 31,397.82, 47,096.73 and 13,885.50 is: 20,828.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,397.82 : 47,096.73 = 13,885.50 : x
  2. Step 2: Convert to fraction form
    31,397.82/47,096.73 = 13,885.50/x
  3. Step 3: Cross multiply
    31,397.82x = 47,096.73 × 13,885.50
  4. Step 4: Simplify right side
    31,397.82x = 653,961,644.42
  5. Step 5: Solve for x
    x = 653,961,644.42/31,397.82
  6. Step 6: Final answer
    x = 20,828.25

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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.