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Finding the Fourth Proportional to 67,968, 101,992.32 and 31,034.88

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Solution

The fourth proportional to 67,968, 101,992.32 and 31,034.88 is: 46,570.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,968 : 101,992.32 = 31,034.88 : x
  2. Step 2: Convert to fraction form
    67,968/101,992.32 = 31,034.88/x
  3. Step 3: Cross multiply
    67,968x = 101,992.32 × 31,034.88
  4. Step 4: Simplify right side
    67,968x = 3,165,319,412.12
  5. Step 5: Solve for x
    x = 3,165,319,412.12/67,968
  6. Step 6: Final answer
    x = 46,570.73

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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.