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Finding the Fourth Proportional to 31,144.56, 46,715.64 and 8,957.88

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Solution

The fourth proportional to 31,144.56, 46,715.64 and 8,957.88 is: 13,436.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,144.56 : 46,715.64 = 8,957.88 : x
  2. Step 2: Convert to fraction form
    31,144.56/46,715.64 = 8,957.88/x
  3. Step 3: Cross multiply
    31,144.56x = 46,715.64 × 8,957.88
  4. Step 4: Simplify right side
    31,144.56x = 418,473,097.24
  5. Step 5: Solve for x
    x = 418,473,097.24/31,144.56
  6. Step 6: Final answer
    x = 13,436.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.