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Finding the Fourth Proportional to 29,960.46, 44,949.33 and 9,696.78

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Solution

The fourth proportional to 29,960.46, 44,949.33 and 9,696.78 is: 14,547.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,960.46 : 44,949.33 = 9,696.78 : x
  2. Step 2: Convert to fraction form
    29,960.46/44,949.33 = 9,696.78/x
  3. Step 3: Cross multiply
    29,960.46x = 44,949.33 × 9,696.78
  4. Step 4: Simplify right side
    29,960.46x = 435,863,764.16
  5. Step 5: Solve for x
    x = 435,863,764.16/29,960.46
  6. Step 6: Final answer
    x = 14,547.97

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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.