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Finding the Fourth Proportional to 65,153.36, 89,832.84 and 55,064

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Solution

The fourth proportional to 65,153.36, 89,832.84 and 55,064 is: 75,921.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,153.36 : 89,832.84 = 55,064 : x
  2. Step 2: Convert to fraction form
    65,153.36/89,832.84 = 55,064/x
  3. Step 3: Cross multiply
    65,153.36x = 89,832.84 × 55,064
  4. Step 4: Simplify right side
    65,153.36x = 4,946,555,501.76
  5. Step 5: Solve for x
    x = 4,946,555,501.76/65,153.36
  6. Step 6: Final answer
    x = 75,921.73

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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.