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Finding the Fourth Proportional to 47,200.39, 70,800.62 and 32,364.32

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Solution

The fourth proportional to 47,200.39, 70,800.62 and 32,364.32 is: 48,546.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,200.39 : 70,800.62 = 32,364.32 : x
  2. Step 2: Convert to fraction form
    47,200.39/70,800.62 = 32,364.32/x
  3. Step 3: Cross multiply
    47,200.39x = 70,800.62 × 32,364.32
  4. Step 4: Simplify right side
    47,200.39x = 2,291,413,406.05
  5. Step 5: Solve for x
    x = 2,291,413,406.05/47,200.39
  6. Step 6: Final answer
    x = 48,546.50

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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.