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Finding the Fourth Proportional to 31,334.67, 46,997.37 and 9,142.10

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Solution

The fourth proportional to 31,334.67, 46,997.37 and 9,142.10 is: 13,711.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,334.67 : 46,997.37 = 9,142.10 : x
  2. Step 2: Convert to fraction form
    31,334.67/46,997.37 = 9,142.10/x
  3. Step 3: Cross multiply
    31,334.67x = 46,997.37 × 9,142.10
  4. Step 4: Simplify right side
    31,334.67x = 429,654,421.29
  5. Step 5: Solve for x
    x = 429,654,421.29/31,334.67
  6. Step 6: Final answer
    x = 13,711.79

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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.