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Finding the Fourth Proportional to 96,597.77, 133,306.03 and 53,578.12

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Solution

The fourth proportional to 96,597.77, 133,306.03 and 53,578.12 is: 73,938.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,597.77 : 133,306.03 = 53,578.12 : x
  2. Step 2: Convert to fraction form
    96,597.77/133,306.03 = 53,578.12/x
  3. Step 3: Cross multiply
    96,597.77x = 133,306.03 × 53,578.12
  4. Step 4: Simplify right side
    96,597.77x = 7,142,286,004.85
  5. Step 5: Solve for x
    x = 7,142,286,004.85/96,597.77
  6. Step 6: Final answer
    x = 73,938.41

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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.