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Finding the Fourth Proportional to 54,834.94, 82,065.29 and 45,960.29

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Solution

The fourth proportional to 54,834.94, 82,065.29 and 45,960.29 is: 68,783.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,834.94 : 82,065.29 = 45,960.29 : x
  2. Step 2: Convert to fraction form
    54,834.94/82,065.29 = 45,960.29/x
  3. Step 3: Cross multiply
    54,834.94x = 82,065.29 × 45,960.29
  4. Step 4: Simplify right side
    54,834.94x = 3,771,744,656.57
  5. Step 5: Solve for x
    x = 3,771,744,656.57/54,834.94
  6. Step 6: Final answer
    x = 68,783.60

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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.