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Finding the Fourth Proportional to 31,115.79, 46,678.82 and 11,421.99

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Solution

The fourth proportional to 31,115.79, 46,678.82 and 11,421.99 is: 17,134.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,115.79 : 46,678.82 = 11,421.99 : x
  2. Step 2: Convert to fraction form
    31,115.79/46,678.82 = 11,421.99/x
  3. Step 3: Cross multiply
    31,115.79x = 46,678.82 × 11,421.99
  4. Step 4: Simplify right side
    31,115.79x = 533,164,958.14
  5. Step 5: Solve for x
    x = 533,164,958.14/31,115.79
  6. Step 6: Final answer
    x = 17,134.87

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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.