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Finding the Fourth Proportional to 32,321.34, 48,485.64 and 14,786.46

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Solution

The fourth proportional to 32,321.34, 48,485.64 and 14,786.46 is: 22,181.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,321.34 : 48,485.64 = 14,786.46 : x
  2. Step 2: Convert to fraction form
    32,321.34/48,485.64 = 14,786.46/x
  3. Step 3: Cross multiply
    32,321.34x = 48,485.64 × 14,786.46
  4. Step 4: Simplify right side
    32,321.34x = 716,930,976.43
  5. Step 5: Solve for x
    x = 716,930,976.43/32,321.34
  6. Step 6: Final answer
    x = 22,181.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.