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Finding the Fourth Proportional to 31,395.12, 47,093.04 and 9,208.94

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Solution

The fourth proportional to 31,395.12, 47,093.04 and 9,208.94 is: 13,813.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,395.12 : 47,093.04 = 9,208.94 : x
  2. Step 2: Convert to fraction form
    31,395.12/47,093.04 = 9,208.94/x
  3. Step 3: Cross multiply
    31,395.12x = 47,093.04 × 9,208.94
  4. Step 4: Simplify right side
    31,395.12x = 433,676,744.31
  5. Step 5: Solve for x
    x = 433,676,744.31/31,395.12
  6. Step 6: Final answer
    x = 13,813.51

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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.