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Finding the Fourth Proportional to 31,330.67, 46,997.28 and 7,957.71

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Solution

The fourth proportional to 31,330.67, 46,997.28 and 7,957.71 is: 11,936.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,330.67 : 46,997.28 = 7,957.71 : x
  2. Step 2: Convert to fraction form
    31,330.67/46,997.28 = 7,957.71/x
  3. Step 3: Cross multiply
    31,330.67x = 46,997.28 × 7,957.71
  4. Step 4: Simplify right side
    31,330.67x = 373,990,725.03
  5. Step 5: Solve for x
    x = 373,990,725.03/31,330.67
  6. Step 6: Final answer
    x = 11,936.89

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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.