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Finding the Fourth Proportional to 31,046.88, 46,569.86 and 7,673.31

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Solution

The fourth proportional to 31,046.88, 46,569.86 and 7,673.31 is: 11,509.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,046.88 : 46,569.86 = 7,673.31 : x
  2. Step 2: Convert to fraction form
    31,046.88/46,569.86 = 7,673.31/x
  3. Step 3: Cross multiply
    31,046.88x = 46,569.86 × 7,673.31
  4. Step 4: Simplify right side
    31,046.88x = 357,344,972.44
  5. Step 5: Solve for x
    x = 357,344,972.44/31,046.88
  6. Step 6: Final answer
    x = 11,509.85

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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.