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Finding the Fourth Proportional to 45,746.96, 68,563.92 and 27,008

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Solution

The fourth proportional to 45,746.96, 68,563.92 and 27,008 is: 40,478.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,746.96 : 68,563.92 = 27,008 : x
  2. Step 2: Convert to fraction form
    45,746.96/68,563.92 = 27,008/x
  3. Step 3: Cross multiply
    45,746.96x = 68,563.92 × 27,008
  4. Step 4: Simplify right side
    45,746.96x = 1,851,774,351.36
  5. Step 5: Solve for x
    x = 1,851,774,351.36/45,746.96
  6. Step 6: Final answer
    x = 40,478.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.