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Finding the Fourth Proportional to 31,103.64, 46,645.90 and 8,911.06

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Solution

The fourth proportional to 31,103.64, 46,645.90 and 8,911.06 is: 13,363.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,103.64 : 46,645.90 = 8,911.06 : x
  2. Step 2: Convert to fraction form
    31,103.64/46,645.90 = 8,911.06/x
  3. Step 3: Cross multiply
    31,103.64x = 46,645.90 × 8,911.06
  4. Step 4: Simplify right side
    31,103.64x = 415,664,274.76
  5. Step 5: Solve for x
    x = 415,664,274.76/31,103.64
  6. Step 6: Final answer
    x = 13,363.85

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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.