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Finding the Fourth Proportional to 33,984.64, 50,977.14 and 10,609.12

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Solution

The fourth proportional to 33,984.64, 50,977.14 and 10,609.12 is: 15,913.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,984.64 : 50,977.14 = 10,609.12 : x
  2. Step 2: Convert to fraction form
    33,984.64/50,977.14 = 10,609.12/x
  3. Step 3: Cross multiply
    33,984.64x = 50,977.14 × 10,609.12
  4. Step 4: Simplify right side
    33,984.64x = 540,822,595.52
  5. Step 5: Solve for x
    x = 540,822,595.52/33,984.64
  6. Step 6: Final answer
    x = 15,913.74

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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.