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Finding the Fourth Proportional to 72,082.96, 98,610 and 71,779.36

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Solution

The fourth proportional to 72,082.96, 98,610 and 71,779.36 is: 98,194.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,082.96 : 98,610 = 71,779.36 : x
  2. Step 2: Convert to fraction form
    72,082.96/98,610 = 71,779.36/x
  3. Step 3: Cross multiply
    72,082.96x = 98,610 × 71,779.36
  4. Step 4: Simplify right side
    72,082.96x = 7,078,162,689.60
  5. Step 5: Solve for x
    x = 7,078,162,689.60/72,082.96
  6. Step 6: Final answer
    x = 98,194.67

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.