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Finding the Fourth Proportional to 32,830.14, 49,245.48 and 14,108.88

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Solution

The fourth proportional to 32,830.14, 49,245.48 and 14,108.88 is: 21,163.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,830.14 : 49,245.48 = 14,108.88 : x
  2. Step 2: Convert to fraction form
    32,830.14/49,245.48 = 14,108.88/x
  3. Step 3: Cross multiply
    32,830.14x = 49,245.48 × 14,108.88
  4. Step 4: Simplify right side
    32,830.14x = 694,798,567.86
  5. Step 5: Solve for x
    x = 694,798,567.86/32,830.14
  6. Step 6: Final answer
    x = 21,163.44

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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.