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Finding the Fourth Proportional to 30,706.56, 46,039.68 and 10,974.96

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Solution

The fourth proportional to 30,706.56, 46,039.68 and 10,974.96 is: 16,455.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,706.56 : 46,039.68 = 10,974.96 : x
  2. Step 2: Convert to fraction form
    30,706.56/46,039.68 = 10,974.96/x
  3. Step 3: Cross multiply
    30,706.56x = 46,039.68 × 10,974.96
  4. Step 4: Simplify right side
    30,706.56x = 505,283,646.41
  5. Step 5: Solve for x
    x = 505,283,646.41/30,706.56
  6. Step 6: Final answer
    x = 16,455.23

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1.5x scale

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.