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Finding the Fourth Proportional to 68,972.50, 95,182.16 and 39,164.50

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Solution

The fourth proportional to 68,972.50, 95,182.16 and 39,164.50 is: 54,047.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,972.50 : 95,182.16 = 39,164.50 : x
  2. Step 2: Convert to fraction form
    68,972.50/95,182.16 = 39,164.50/x
  3. Step 3: Cross multiply
    68,972.50x = 95,182.16 × 39,164.50
  4. Step 4: Simplify right side
    68,972.50x = 3,727,761,705.32
  5. Step 5: Solve for x
    x = 3,727,761,705.32/68,972.50
  6. Step 6: Final answer
    x = 54,047.07

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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.