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Finding the Fourth Proportional to 54,706.68, 82,059.64 and 15,264

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Solution

The fourth proportional to 54,706.68, 82,059.64 and 15,264 is: 22,895.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,706.68 : 82,059.64 = 15,264 : x
  2. Step 2: Convert to fraction form
    54,706.68/82,059.64 = 15,264/x
  3. Step 3: Cross multiply
    54,706.68x = 82,059.64 × 15,264
  4. Step 4: Simplify right side
    54,706.68x = 1,252,558,344.96
  5. Step 5: Solve for x
    x = 1,252,558,344.96/54,706.68
  6. Step 6: Final answer
    x = 22,895.89

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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.