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Finding the Fourth Proportional to 54,696.63, 82,044.93 and 13,143.63

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Solution

The fourth proportional to 54,696.63, 82,044.93 and 13,143.63 is: 19,715.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,696.63 : 82,044.93 = 13,143.63 : x
  2. Step 2: Convert to fraction form
    54,696.63/82,044.93 = 13,143.63/x
  3. Step 3: Cross multiply
    54,696.63x = 82,044.93 × 13,143.63
  4. Step 4: Simplify right side
    54,696.63x = 1,078,368,098.75
  5. Step 5: Solve for x
    x = 1,078,368,098.75/54,696.63
  6. Step 6: Final answer
    x = 19,715.44

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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.