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Finding the Fourth Proportional to 31,094.97, 46,642.24 and 8,908.43

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Solution

The fourth proportional to 31,094.97, 46,642.24 and 8,908.43 is: 13,362.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,094.97 : 46,642.24 = 8,908.43 : x
  2. Step 2: Convert to fraction form
    31,094.97/46,642.24 = 8,908.43/x
  3. Step 3: Cross multiply
    31,094.97x = 46,642.24 × 8,908.43
  4. Step 4: Simplify right side
    31,094.97x = 415,509,130.08
  5. Step 5: Solve for x
    x = 415,509,130.08/31,094.97
  6. Step 6: Final answer
    x = 13,362.58

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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.