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Finding the Fourth Proportional to 31,108.95, 46,675.17 and 11,401.02

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Solution

The fourth proportional to 31,108.95, 46,675.17 and 11,401.02 is: 17,105.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,108.95 : 46,675.17 = 11,401.02 : x
  2. Step 2: Convert to fraction form
    31,108.95/46,675.17 = 11,401.02/x
  3. Step 3: Cross multiply
    31,108.95x = 46,675.17 × 11,401.02
  4. Step 4: Simplify right side
    31,108.95x = 532,144,546.67
  5. Step 5: Solve for x
    x = 532,144,546.67/31,108.95
  6. Step 6: Final answer
    x = 17,105.83

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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.