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Finding the Fourth Proportional to 31,144.79, 46,725.19 and 8,959.91

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Solution

The fourth proportional to 31,144.79, 46,725.19 and 8,959.91 is: 13,442.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,144.79 : 46,725.19 = 8,959.91 : x
  2. Step 2: Convert to fraction form
    31,144.79/46,725.19 = 8,959.91/x
  3. Step 3: Cross multiply
    31,144.79x = 46,725.19 × 8,959.91
  4. Step 4: Simplify right side
    31,144.79x = 418,653,241.11
  5. Step 5: Solve for x
    x = 418,653,241.11/31,144.79
  6. Step 6: Final answer
    x = 13,442.16

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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.