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Finding the Fourth Proportional to 96,881.34, 133,696.96 and 53,274.65

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Solution

The fourth proportional to 96,881.34, 133,696.96 and 53,274.65 is: 73,519.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,881.34 : 133,696.96 = 53,274.65 : x
  2. Step 2: Convert to fraction form
    96,881.34/133,696.96 = 53,274.65/x
  3. Step 3: Cross multiply
    96,881.34x = 133,696.96 × 53,274.65
  4. Step 4: Simplify right side
    96,881.34x = 7,122,658,951.12
  5. Step 5: Solve for x
    x = 7,122,658,951.12/96,881.34
  6. Step 6: Final answer
    x = 73,519.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.