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Finding the Fourth Proportional to 32,884.14, 49,333.65 and 9,512.46

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Solution

The fourth proportional to 32,884.14, 49,333.65 and 9,512.46 is: 14,270.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,884.14 : 49,333.65 = 9,512.46 : x
  2. Step 2: Convert to fraction form
    32,884.14/49,333.65 = 9,512.46/x
  3. Step 3: Cross multiply
    32,884.14x = 49,333.65 × 9,512.46
  4. Step 4: Simplify right side
    32,884.14x = 469,284,372.28
  5. Step 5: Solve for x
    x = 469,284,372.28/32,884.14
  6. Step 6: Final answer
    x = 14,270.84

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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.