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Finding the Fourth Proportional to 70,381.97, 105,511.07 and 36,576.81

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Solution

The fourth proportional to 70,381.97, 105,511.07 and 36,576.81 is: 54,833.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,381.97 : 105,511.07 = 36,576.81 : x
  2. Step 2: Convert to fraction form
    70,381.97/105,511.07 = 36,576.81/x
  3. Step 3: Cross multiply
    70,381.97x = 105,511.07 × 36,576.81
  4. Step 4: Simplify right side
    70,381.97x = 3,859,258,314.57
  5. Step 5: Solve for x
    x = 3,859,258,314.57/70,381.97
  6. Step 6: Final answer
    x = 54,833.06

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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.