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Finding the Fourth Proportional to 97,687.86, 146,418.27 and 44,986.62

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Solution

The fourth proportional to 97,687.86, 146,418.27 and 44,986.62 is: 67,427.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,687.86 : 146,418.27 = 44,986.62 : x
  2. Step 2: Convert to fraction form
    97,687.86/146,418.27 = 44,986.62/x
  3. Step 3: Cross multiply
    97,687.86x = 146,418.27 × 44,986.62
  4. Step 4: Simplify right side
    97,687.86x = 6,586,863,073.55
  5. Step 5: Solve for x
    x = 6,586,863,073.55/97,687.86
  6. Step 6: Final answer
    x = 67,427.65

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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.