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Finding the Fourth Proportional to 86,896.85, 119,916.72 and 48,656.75

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Solution

The fourth proportional to 86,896.85, 119,916.72 and 48,656.75 is: 67,145.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,896.85 : 119,916.72 = 48,656.75 : x
  2. Step 2: Convert to fraction form
    86,896.85/119,916.72 = 48,656.75/x
  3. Step 3: Cross multiply
    86,896.85x = 119,916.72 × 48,656.75
  4. Step 4: Simplify right side
    86,896.85x = 5,834,757,266.28
  5. Step 5: Solve for x
    x = 5,834,757,266.28/86,896.85
  6. Step 6: Final answer
    x = 67,145.79

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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.