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Finding the Fourth Proportional to 82,396.65, 113,690.61 and 48,410.67

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Solution

The fourth proportional to 82,396.65, 113,690.61 and 48,410.67 is: 66,796.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,396.65 : 113,690.61 = 48,410.67 : x
  2. Step 2: Convert to fraction form
    82,396.65/113,690.61 = 48,410.67/x
  3. Step 3: Cross multiply
    82,396.65x = 113,690.61 × 48,410.67
  4. Step 4: Simplify right side
    82,396.65x = 5,503,838,602.81
  5. Step 5: Solve for x
    x = 5,503,838,602.81/82,396.65
  6. Step 6: Final answer
    x = 66,796.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.