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Finding the Fourth Proportional to 86,608.46, 129,916.34 and 27,442.82

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Solution

The fourth proportional to 86,608.46, 129,916.34 and 27,442.82 is: 41,165.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,608.46 : 129,916.34 = 27,442.82 : x
  2. Step 2: Convert to fraction form
    86,608.46/129,916.34 = 27,442.82/x
  3. Step 3: Cross multiply
    86,608.46x = 129,916.34 × 27,442.82
  4. Step 4: Simplify right side
    86,608.46x = 3,565,269,946.88
  5. Step 5: Solve for x
    x = 3,565,269,946.88/86,608.46
  6. Step 6: Final answer
    x = 41,165.38

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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.