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Finding the Fourth Proportional to 31,797, 47,700.72 and 13,071.96

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Solution

The fourth proportional to 31,797, 47,700.72 and 13,071.96 is: 19,610.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,797 : 47,700.72 = 13,071.96 : x
  2. Step 2: Convert to fraction form
    31,797/47,700.72 = 13,071.96/x
  3. Step 3: Cross multiply
    31,797x = 47,700.72 × 13,071.96
  4. Step 4: Simplify right side
    31,797x = 623,541,903.81
  5. Step 5: Solve for x
    x = 623,541,903.81/31,797
  6. Step 6: Final answer
    x = 19,610.09

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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.