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Finding the Fourth Proportional to 31,486.26, 47,218.26 and 9,293.70

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Solution

The fourth proportional to 31,486.26, 47,218.26 and 9,293.70 is: 13,937.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,486.26 : 47,218.26 = 9,293.70 : x
  2. Step 2: Convert to fraction form
    31,486.26/47,218.26 = 9,293.70/x
  3. Step 3: Cross multiply
    31,486.26x = 47,218.26 × 9,293.70
  4. Step 4: Simplify right side
    31,486.26x = 438,832,342.96
  5. Step 5: Solve for x
    x = 438,832,342.96/31,486.26
  6. Step 6: Final answer
    x = 13,937.26

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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.