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Finding the Fourth Proportional to 31,791.58, 47,681.96 and 8,420.38

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Solution

The fourth proportional to 31,791.58, 47,681.96 and 8,420.38 is: 12,629.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,791.58 : 47,681.96 = 8,420.38 : x
  2. Step 2: Convert to fraction form
    31,791.58/47,681.96 = 8,420.38/x
  3. Step 3: Cross multiply
    31,791.58x = 47,681.96 × 8,420.38
  4. Step 4: Simplify right side
    31,791.58x = 401,500,222.34
  5. Step 5: Solve for x
    x = 401,500,222.34/31,791.58
  6. Step 6: Final answer
    x = 12,629.14

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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.