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Finding the Fourth Proportional to 58,097, 80,173.86 and 31,601

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Solution

The fourth proportional to 58,097, 80,173.86 and 31,601 is: 43,609.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,097 : 80,173.86 = 31,601 : x
  2. Step 2: Convert to fraction form
    58,097/80,173.86 = 31,601/x
  3. Step 3: Cross multiply
    58,097x = 80,173.86 × 31,601
  4. Step 4: Simplify right side
    58,097x = 2,533,574,149.86
  5. Step 5: Solve for x
    x = 2,533,574,149.86/58,097
  6. Step 6: Final answer
    x = 43,609.38

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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.