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Finding the Fourth Proportional to 31,055.52, 46,584.82 and 8,872.16

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Solution

The fourth proportional to 31,055.52, 46,584.82 and 8,872.16 is: 13,308.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,055.52 : 46,584.82 = 8,872.16 : x
  2. Step 2: Convert to fraction form
    31,055.52/46,584.82 = 8,872.16/x
  3. Step 3: Cross multiply
    31,055.52x = 46,584.82 × 8,872.16
  4. Step 4: Simplify right side
    31,055.52x = 413,307,976.61
  5. Step 5: Solve for x
    x = 413,307,976.61/31,055.52
  6. Step 6: Final answer
    x = 13,308.68

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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.