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Finding the Fourth Proportional to 31,394.67, 47,090.79 and 10,618.17

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Solution

The fourth proportional to 31,394.67, 47,090.79 and 10,618.17 is: 15,926.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,394.67 : 47,090.79 = 10,618.17 : x
  2. Step 2: Convert to fraction form
    31,394.67/47,090.79 = 10,618.17/x
  3. Step 3: Cross multiply
    31,394.67x = 47,090.79 × 10,618.17
  4. Step 4: Simplify right side
    31,394.67x = 500,018,013.65
  5. Step 5: Solve for x
    x = 500,018,013.65/31,394.67
  6. Step 6: Final answer
    x = 15,926.84

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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.