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Finding the Fourth Proportional to 56,878, 78,481.92 and 32,999.20

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Solution

The fourth proportional to 56,878, 78,481.92 and 32,999.20 is: 45,533.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,878 : 78,481.92 = 32,999.20 : x
  2. Step 2: Convert to fraction form
    56,878/78,481.92 = 32,999.20/x
  3. Step 3: Cross multiply
    56,878x = 78,481.92 × 32,999.20
  4. Step 4: Simplify right side
    56,878x = 2,589,840,574.46
  5. Step 5: Solve for x
    x = 2,589,840,574.46/56,878
  6. Step 6: Final answer
    x = 45,533.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.