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Finding the Fourth Proportional to 82,896.76, 124,241.10 and 65,297.08

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Solution

The fourth proportional to 82,896.76, 124,241.10 and 65,297.08 is: 97,863.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,896.76 : 124,241.10 = 65,297.08 : x
  2. Step 2: Convert to fraction form
    82,896.76/124,241.10 = 65,297.08/x
  3. Step 3: Cross multiply
    82,896.76x = 124,241.10 × 65,297.08
  4. Step 4: Simplify right side
    82,896.76x = 8,112,581,045.99
  5. Step 5: Solve for x
    x = 8,112,581,045.99/82,896.76
  6. Step 6: Final answer
    x = 97,863.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.