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Finding the Fourth Proportional to 31,106.64, 46,650.38 and 8,914.06

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Solution

The fourth proportional to 31,106.64, 46,650.38 and 8,914.06 is: 13,368.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,106.64 : 46,650.38 = 8,914.06 : x
  2. Step 2: Convert to fraction form
    31,106.64/46,650.38 = 8,914.06/x
  3. Step 3: Cross multiply
    31,106.64x = 46,650.38 × 8,914.06
  4. Step 4: Simplify right side
    31,106.64x = 415,844,286.34
  5. Step 5: Solve for x
    x = 415,844,286.34/31,106.64
  6. Step 6: Final answer
    x = 13,368.34

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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.