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Finding the Fourth Proportional to 32,321.22, 48,455.62 and 14,538.86

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Solution

The fourth proportional to 32,321.22, 48,455.62 and 14,538.86 is: 21,796.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,321.22 : 48,455.62 = 14,538.86 : x
  2. Step 2: Convert to fraction form
    32,321.22/48,455.62 = 14,538.86/x
  3. Step 3: Cross multiply
    32,321.22x = 48,455.62 × 14,538.86
  4. Step 4: Simplify right side
    32,321.22x = 704,489,475.39
  5. Step 5: Solve for x
    x = 704,489,475.39/32,321.22
  6. Step 6: Final answer
    x = 21,796.50

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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.