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Finding the Fourth Proportional to 65,056.24, 89,728.08 and 55,997

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Solution

The fourth proportional to 65,056.24, 89,728.08 and 55,997 is: 77,233.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,056.24 : 89,728.08 = 55,997 : x
  2. Step 2: Convert to fraction form
    65,056.24/89,728.08 = 55,997/x
  3. Step 3: Cross multiply
    65,056.24x = 89,728.08 × 55,997
  4. Step 4: Simplify right side
    65,056.24x = 5,024,503,295.76
  5. Step 5: Solve for x
    x = 5,024,503,295.76/65,056.24
  6. Step 6: Final answer
    x = 77,233.23

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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.