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Finding the Fourth Proportional to 41,804.73, 62,706.29 and 10,215

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Solution

The fourth proportional to 41,804.73, 62,706.29 and 10,215 is: 15,322.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,804.73 : 62,706.29 = 10,215 : x
  2. Step 2: Convert to fraction form
    41,804.73/62,706.29 = 10,215/x
  3. Step 3: Cross multiply
    41,804.73x = 62,706.29 × 10,215
  4. Step 4: Simplify right side
    41,804.73x = 640,544,701.28
  5. Step 5: Solve for x
    x = 640,544,701.28/41,804.73
  6. Step 6: Final answer
    x = 15,322.30

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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.