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Finding the Fourth Proportional to 65,056.46, 89,728.38 and 55,997.24

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Solution

The fourth proportional to 65,056.46, 89,728.38 and 55,997.24 is: 77,233.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,056.46 : 89,728.38 = 55,997.24 : x
  2. Step 2: Convert to fraction form
    65,056.46/89,728.38 = 55,997.24/x
  3. Step 3: Cross multiply
    65,056.46x = 89,728.38 × 55,997.24
  4. Step 4: Simplify right side
    65,056.46x = 5,024,541,181.03
  5. Step 5: Solve for x
    x = 5,024,541,181.03/65,056.46
  6. Step 6: Final answer
    x = 77,233.55

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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.