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Finding the Fourth Proportional to 45,714.96, 68,515.92 and 26,976

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Solution

The fourth proportional to 45,714.96, 68,515.92 and 26,976 is: 40,430.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,714.96 : 68,515.92 = 26,976 : x
  2. Step 2: Convert to fraction form
    45,714.96/68,515.92 = 26,976/x
  3. Step 3: Cross multiply
    45,714.96x = 68,515.92 × 26,976
  4. Step 4: Simplify right side
    45,714.96x = 1,848,285,457.92
  5. Step 5: Solve for x
    x = 1,848,285,457.92/45,714.96
  6. Step 6: Final answer
    x = 40,430.65

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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.