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Finding the Fourth Proportional to 32,311, 48,431.58 and 13,586.68

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Solution

The fourth proportional to 32,311, 48,431.58 and 13,586.68 is: 20,365.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,311 : 48,431.58 = 13,586.68 : x
  2. Step 2: Convert to fraction form
    32,311/48,431.58 = 13,586.68/x
  3. Step 3: Cross multiply
    32,311x = 48,431.58 × 13,586.68
  4. Step 4: Simplify right side
    32,311x = 658,024,379.35
  5. Step 5: Solve for x
    x = 658,024,379.35/32,311
  6. Step 6: Final answer
    x = 20,365.34

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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.