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Finding the Fourth Proportional to 31,257.30, 46,885.50 and 7,883.58

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Solution

The fourth proportional to 31,257.30, 46,885.50 and 7,883.58 is: 11,825.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,257.30 : 46,885.50 = 7,883.58 : x
  2. Step 2: Convert to fraction form
    31,257.30/46,885.50 = 7,883.58/x
  3. Step 3: Cross multiply
    31,257.30x = 46,885.50 × 7,883.58
  4. Step 4: Simplify right side
    31,257.30x = 369,625,590.09
  5. Step 5: Solve for x
    x = 369,625,590.09/31,257.30
  6. Step 6: Final answer
    x = 11,825.26

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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.