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Finding the Fourth Proportional to 47,883.52, 71,684.70 and 33,602.32

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Solution

The fourth proportional to 47,883.52, 71,684.70 and 33,602.32 is: 50,304.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,883.52 : 71,684.70 = 33,602.32 : x
  2. Step 2: Convert to fraction form
    47,883.52/71,684.70 = 33,602.32/x
  3. Step 3: Cross multiply
    47,883.52x = 71,684.70 × 33,602.32
  4. Step 4: Simplify right side
    47,883.52x = 2,408,772,228.50
  5. Step 5: Solve for x
    x = 2,408,772,228.50/47,883.52
  6. Step 6: Final answer
    x = 50,304.83

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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.