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Finding the Fourth Proportional to 31,759.71, 47,638.75 and 8,386.35

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Solution

The fourth proportional to 31,759.71, 47,638.75 and 8,386.35 is: 12,579.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,759.71 : 47,638.75 = 8,386.35 : x
  2. Step 2: Convert to fraction form
    31,759.71/47,638.75 = 8,386.35/x
  3. Step 3: Cross multiply
    31,759.71x = 47,638.75 × 8,386.35
  4. Step 4: Simplify right side
    31,759.71x = 399,515,231.06
  5. Step 5: Solve for x
    x = 399,515,231.06/31,759.71
  6. Step 6: Final answer
    x = 12,579.31

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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.