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Finding the Fourth Proportional to 31,274.10, 46,918.44 and 9,087.90

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Solution

The fourth proportional to 31,274.10, 46,918.44 and 9,087.90 is: 13,633.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,274.10 : 46,918.44 = 9,087.90 : x
  2. Step 2: Convert to fraction form
    31,274.10/46,918.44 = 9,087.90/x
  3. Step 3: Cross multiply
    31,274.10x = 46,918.44 × 9,087.90
  4. Step 4: Simplify right side
    31,274.10x = 426,389,914.93
  5. Step 5: Solve for x
    x = 426,389,914.93/31,274.10
  6. Step 6: Final answer
    x = 13,633.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.