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Finding the Fourth Proportional to 68,972, 95,181.48 and 39,164

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Solution

The fourth proportional to 68,972, 95,181.48 and 39,164 is: 54,046.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,972 : 95,181.48 = 39,164 : x
  2. Step 2: Convert to fraction form
    68,972/95,181.48 = 39,164/x
  3. Step 3: Cross multiply
    68,972x = 95,181.48 × 39,164
  4. Step 4: Simplify right side
    68,972x = 3,727,687,482.72
  5. Step 5: Solve for x
    x = 3,727,687,482.72/68,972
  6. Step 6: Final answer
    x = 54,046.39

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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.