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Finding the Fourth Proportional to 68,231.16, 94,165.90 and 38,021.40

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Solution

The fourth proportional to 68,231.16, 94,165.90 and 38,021.40 is: 52,473.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,231.16 : 94,165.90 = 38,021.40 : x
  2. Step 2: Convert to fraction form
    68,231.16/94,165.90 = 38,021.40/x
  3. Step 3: Cross multiply
    68,231.16x = 94,165.90 × 38,021.40
  4. Step 4: Simplify right side
    68,231.16x = 3,580,319,350.26
  5. Step 5: Solve for x
    x = 3,580,319,350.26/68,231.16
  6. Step 6: Final answer
    x = 52,473.38

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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.