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Finding the Fourth Proportional to 54,706.14, 82,059.57 and 19,646.10

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Solution

The fourth proportional to 54,706.14, 82,059.57 and 19,646.10 is: 29,469.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,706.14 : 82,059.57 = 19,646.10 : x
  2. Step 2: Convert to fraction form
    54,706.14/82,059.57 = 19,646.10/x
  3. Step 3: Cross multiply
    54,706.14x = 82,059.57 × 19,646.10
  4. Step 4: Simplify right side
    54,706.14x = 1,612,150,518.18
  5. Step 5: Solve for x
    x = 1,612,150,518.18/54,706.14
  6. Step 6: Final answer
    x = 29,469.28

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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.