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Finding the Fourth Proportional to 65,177.36, 89,865.92 and 55,088

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Solution

The fourth proportional to 65,177.36, 89,865.92 and 55,088 is: 75,954.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,177.36 : 89,865.92 = 55,088 : x
  2. Step 2: Convert to fraction form
    65,177.36/89,865.92 = 55,088/x
  3. Step 3: Cross multiply
    65,177.36x = 89,865.92 × 55,088
  4. Step 4: Simplify right side
    65,177.36x = 4,950,533,800.96
  5. Step 5: Solve for x
    x = 4,950,533,800.96/65,177.36
  6. Step 6: Final answer
    x = 75,954.81

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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.