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Finding the Fourth Proportional to 98,082.24, 135,349.38 and 55,648.76

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Solution

The fourth proportional to 98,082.24, 135,349.38 and 55,648.76 is: 76,792.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,082.24 : 135,349.38 = 55,648.76 : x
  2. Step 2: Convert to fraction form
    98,082.24/135,349.38 = 55,648.76/x
  3. Step 3: Cross multiply
    98,082.24x = 135,349.38 × 55,648.76
  4. Step 4: Simplify right side
    98,082.24x = 7,532,025,163.77
  5. Step 5: Solve for x
    x = 7,532,025,163.77/98,082.24
  6. Step 6: Final answer
    x = 76,792.96

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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.